\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  -2.0 & +  8.00 x_{1} & -4.00 x_{2} & -10.00 x_{3} & -1.00 x_{4} & -9.00 x_{5} & +  8.00 x_{6} & -2.00 x_{7} & -5.00 x_{8} & +  7.00 x_{9} & -1.00 x_{10} & + 10.00 x_{11} & +  2.00 x_{12} & -8.00 x_{13} & -1.00 x_{14} & -10.00 x_{15} & +  3.00 x_{16}\\
 x_{18}   &  0.0 & +  5.00 x_{1} &   & + 10.00 x_{3} & + 10.00 x_{4} & +  8.00 x_{5} & +  6.00 x_{6} & +  3.00 x_{7} & -6.00 x_{8} & +  3.00 x_{9} & -4.00 x_{10} & -7.00 x_{11} & -8.00 x_{12} & + 10.00 x_{13} & +  9.00 x_{14} & +  1.00 x_{15} &   \\
 x_{19}   &  3.0 & +  4.00 x_{1} & -9.00 x_{2} & -8.00 x_{3} & -6.00 x_{4} & +  3.00 x_{5} & +  2.00 x_{6} & -6.00 x_{7} & -5.00 x_{8} & -8.00 x_{9} & +  1.00 x_{10} & +  2.00 x_{11} & +  5.00 x_{12} & -1.00 x_{13} & +  2.00 x_{14} & +  1.00 x_{15} & -9.00 x_{16}\\
 x_{20}   &  2.0 & -10.00 x_{1} & -3.00 x_{2} & -3.00 x_{3} & -1.00 x_{4} & -8.00 x_{5} & -4.00 x_{6} & +  6.00 x_{7} & -5.00 x_{8} & +  8.00 x_{9} & -10.00 x_{10} & +  7.00 x_{11} & -7.00 x_{12} & -8.00 x_{13} & +  5.00 x_{14} &   & + 10.00 x_{16}\\
 x_{21}   &  3.0 & -8.00 x_{1} & -3.00 x_{2} & -10.00 x_{3} & +  9.00 x_{4} & +  3.00 x_{5} & -4.00 x_{6} & -6.00 x_{7} & -10.00 x_{8} & +  4.00 x_{9} &   & -5.00 x_{11} &   & +  2.00 x_{13} & +  8.00 x_{14} &   & -7.00 x_{16}\\
 x_{22}   &  -3.0 & -2.00 x_{1} & -3.00 x_{2} & -8.00 x_{3} & +  7.00 x_{4} & -2.00 x_{5} & +  1.00 x_{6} & -5.00 x_{7} & +  9.00 x_{8} & +  3.00 x_{9} & +  8.00 x_{10} & -7.00 x_{11} & -9.00 x_{12} & +  6.00 x_{13} & -3.00 x_{14} & +  4.00 x_{15} & -3.00 x_{16}\\
 x_{23}   &  0.0 & +  2.00 x_{1} & -6.00 x_{2} & -9.00 x_{3} & -3.00 x_{4} & -9.00 x_{5} & +  8.00 x_{6} & +  7.00 x_{7} & +  4.00 x_{8} & -3.00 x_{9} & -8.00 x_{10} & -7.00 x_{11} & +  3.00 x_{12} & -1.00 x_{13} & +  8.00 x_{14} & + 10.00 x_{15} & -1.00 x_{16}\\
 x_{24}   &  2.0 & -1.00 x_{1} & -9.00 x_{2} & -1.00 x_{3} & +  9.00 x_{4} & -6.00 x_{5} & -5.00 x_{6} & -5.00 x_{7} & -3.00 x_{8} & +  6.00 x_{9} & -1.00 x_{10} & -3.00 x_{11} & +  3.00 x_{12} & +  8.00 x_{13} & -1.00 x_{14} & +  6.00 x_{15} & +  5.00 x_{16}\\
 x_{25}   &  -2.0 & +  2.00 x_{1} & + 10.00 x_{2} & +  7.00 x_{3} & -7.00 x_{4} & +  8.00 x_{5} & +  7.00 x_{6} & +  6.00 x_{7} & +  5.00 x_{8} & +  8.00 x_{9} & -4.00 x_{10} & +  9.00 x_{11} & +  2.00 x_{12} & +  6.00 x_{13} & -9.00 x_{14} & +  8.00 x_{15} & -2.00 x_{16}\\
 x_{26}   &  1.0 & +  2.00 x_{1} & + 10.00 x_{2} & -4.00 x_{3} & +  6.00 x_{4} & -8.00 x_{5} & -2.00 x_{6} & +  4.00 x_{7} & -8.00 x_{8} & +  7.00 x_{9} &   & -4.00 x_{11} & -1.00 x_{12} & +  7.00 x_{13} & -5.00 x_{14} & +  2.00 x_{15} & -4.00 x_{16}\\
 x_{27}   &  -2.0 & +  8.00 x_{1} & -7.00 x_{2} & +  8.00 x_{3} & +  3.00 x_{4} & +  4.00 x_{5} & +  1.00 x_{6} & -3.00 x_{7} & -9.00 x_{8} & -8.00 x_{9} & -9.00 x_{10} & +  1.00 x_{11} & +  1.00 x_{12} & +  5.00 x_{13} & -7.00 x_{14} & +  7.00 x_{15} & -9.00 x_{16}\\
 x_{28}   &  -2.0 & +  4.00 x_{1} & -1.00 x_{2} & -5.00 x_{3} & -9.00 x_{4} & -2.00 x_{5} & -6.00 x_{6} & -9.00 x_{7} & +  2.00 x_{8} & +  4.00 x_{9} & +  6.00 x_{10} & -2.00 x_{11} & -5.00 x_{12} & +  9.00 x_{13} & +  2.00 x_{14} & -4.00 x_{15} & +  9.00 x_{16}\\
 x_{29}   &  -1.0 & -4.00 x_{1} & -2.00 x_{2} & -10.00 x_{3} & +  4.00 x_{4} & +  3.00 x_{5} & -4.00 x_{6} & -2.00 x_{7} & +  4.00 x_{8} & -4.00 x_{9} & +  9.00 x_{10} & -4.00 x_{11} & +  6.00 x_{12} & +  1.00 x_{13} & +  3.00 x_{14} & +  4.00 x_{15} & +  6.00 x_{16}\\
 x_{30}   &  -3.0 & -6.00 x_{1} & +  8.00 x_{2} & -8.00 x_{3} & +  8.00 x_{4} & + 10.00 x_{5} & +  6.00 x_{6} & -6.00 x_{7} & -5.00 x_{8} & -2.00 x_{9} & -7.00 x_{10} & -6.00 x_{11} & -2.00 x_{12} & -1.00 x_{13} & -5.00 x_{14} & +  6.00 x_{15} & -2.00 x_{16}\\
 x_{31}   &  -3.0 & +  6.00 x_{1} & +  6.00 x_{2} & -5.00 x_{3} & -7.00 x_{4} & + 10.00 x_{5} & +  7.00 x_{6} & +  9.00 x_{7} & -4.00 x_{8} & -6.00 x_{9} & -3.00 x_{10} & -6.00 x_{11} & -7.00 x_{12} & -8.00 x_{13} & +  3.00 x_{14} & +  1.00 x_{15} & -9.00 x_{16}\\
 x_{32}   &  3.0 & -5.00 x_{1} & +  8.00 x_{2} & +  2.00 x_{3} & -6.00 x_{4} & +  4.00 x_{5} & +  3.00 x_{6} & -10.00 x_{7} & -5.00 x_{8} &   & +  8.00 x_{10} & +  6.00 x_{11} & +  1.00 x_{12} & +  5.00 x_{13} & +  8.00 x_{14} & -7.00 x_{15} & -10.00 x_{16}\\
\hline
z    &  0.0 & -5.00 x_{1} & +  3.00 x_{2} & +  1.00 x_{3} & -2.00 x_{4} & -2.00 x_{5} & -3.00 x_{6} & +  3.00 x_{7} & -2.00 x_{8} & +  3.00 x_{9} & -3.00 x_{10} & +  5.00 x_{11} & +  5.00 x_{12} & -4.00 x_{13} & -3.00 x_{14} & +  1.00 x_{15} & +  1.00 x_{16}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{16}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & -8.00 y_{17} & -5.00 y_{18} & -4.00 y_{19} & + 10.00 y_{20} & +  8.00 y_{21} & +  2.00 y_{22} & -2.00 y_{23} & +  1.00 y_{24} & -2.00 y_{25} & -2.00 y_{26} & -8.00 y_{27} & -4.00 y_{28} & +  4.00 y_{29} & +  6.00 y_{30} & -6.00 y_{31} & +  5.00 y_{32}\\
 y_{2}   &  1.0 & +  4.00 y_{17} &   & +  9.00 y_{19} & +  3.00 y_{20} & +  3.00 y_{21} & +  3.00 y_{22} & +  6.00 y_{23} & +  9.00 y_{24} & -10.00 y_{25} & -10.00 y_{26} & +  7.00 y_{27} & +  1.00 y_{28} & +  2.00 y_{29} & -8.00 y_{30} & -6.00 y_{31} & -8.00 y_{32}\\
 y_{3}   &  1.0 & + 10.00 y_{17} & -10.00 y_{18} & +  8.00 y_{19} & +  3.00 y_{20} & + 10.00 y_{21} & +  8.00 y_{22} & +  9.00 y_{23} & +  1.00 y_{24} & -7.00 y_{25} & +  4.00 y_{26} & -8.00 y_{27} & +  5.00 y_{28} & + 10.00 y_{29} & +  8.00 y_{30} & +  5.00 y_{31} & -2.00 y_{32}\\
 y_{4}   &  1.0 & +  1.00 y_{17} & -10.00 y_{18} & +  6.00 y_{19} & +  1.00 y_{20} & -9.00 y_{21} & -7.00 y_{22} & +  3.00 y_{23} & -9.00 y_{24} & +  7.00 y_{25} & -6.00 y_{26} & -3.00 y_{27} & +  9.00 y_{28} & -4.00 y_{29} & -8.00 y_{30} & +  7.00 y_{31} & +  6.00 y_{32}\\
 y_{5}   &  1.0 & +  9.00 y_{17} & -8.00 y_{18} & -3.00 y_{19} & +  8.00 y_{20} & -3.00 y_{21} & +  2.00 y_{22} & +  9.00 y_{23} & +  6.00 y_{24} & -8.00 y_{25} & +  8.00 y_{26} & -4.00 y_{27} & +  2.00 y_{28} & -3.00 y_{29} & -10.00 y_{30} & -10.00 y_{31} & -4.00 y_{32}\\
 y_{6}   &  1.0 & -8.00 y_{17} & -6.00 y_{18} & -2.00 y_{19} & +  4.00 y_{20} & +  4.00 y_{21} & -1.00 y_{22} & -8.00 y_{23} & +  5.00 y_{24} & -7.00 y_{25} & +  2.00 y_{26} & -1.00 y_{27} & +  6.00 y_{28} & +  4.00 y_{29} & -6.00 y_{30} & -7.00 y_{31} & -3.00 y_{32}\\
 y_{7}   &  1.0 & +  2.00 y_{17} & -3.00 y_{18} & +  6.00 y_{19} & -6.00 y_{20} & +  6.00 y_{21} & +  5.00 y_{22} & -7.00 y_{23} & +  5.00 y_{24} & -6.00 y_{25} & -4.00 y_{26} & +  3.00 y_{27} & +  9.00 y_{28} & +  2.00 y_{29} & +  6.00 y_{30} & -9.00 y_{31} & + 10.00 y_{32}\\
 y_{8}   &  1.0 & +  5.00 y_{17} & +  6.00 y_{18} & +  5.00 y_{19} & +  5.00 y_{20} & + 10.00 y_{21} & -9.00 y_{22} & -4.00 y_{23} & +  3.00 y_{24} & -5.00 y_{25} & +  8.00 y_{26} & +  9.00 y_{27} & -2.00 y_{28} & -4.00 y_{29} & +  5.00 y_{30} & +  4.00 y_{31} & +  5.00 y_{32}\\
 y_{9}   &  1.0 & -7.00 y_{17} & -3.00 y_{18} & +  8.00 y_{19} & -8.00 y_{20} & -4.00 y_{21} & -3.00 y_{22} & +  3.00 y_{23} & -6.00 y_{24} & -8.00 y_{25} & -7.00 y_{26} & +  8.00 y_{27} & -4.00 y_{28} & +  4.00 y_{29} & +  2.00 y_{30} & +  6.00 y_{31} &   \\
 y_{10}   &  1.0 & +  1.00 y_{17} & +  4.00 y_{18} & -1.00 y_{19} & + 10.00 y_{20} &   & -8.00 y_{22} & +  8.00 y_{23} & +  1.00 y_{24} & +  4.00 y_{25} &   & +  9.00 y_{27} & -6.00 y_{28} & -9.00 y_{29} & +  7.00 y_{30} & +  3.00 y_{31} & -8.00 y_{32}\\
 y_{11}   &  1.0 & -10.00 y_{17} & +  7.00 y_{18} & -2.00 y_{19} & -7.00 y_{20} & +  5.00 y_{21} & +  7.00 y_{22} & +  7.00 y_{23} & +  3.00 y_{24} & -9.00 y_{25} & +  4.00 y_{26} & -1.00 y_{27} & +  2.00 y_{28} & +  4.00 y_{29} & +  6.00 y_{30} & +  6.00 y_{31} & -6.00 y_{32}\\
 y_{12}   &  1.0 & -2.00 y_{17} & +  8.00 y_{18} & -5.00 y_{19} & +  7.00 y_{20} &   & +  9.00 y_{22} & -3.00 y_{23} & -3.00 y_{24} & -2.00 y_{25} & +  1.00 y_{26} & -1.00 y_{27} & +  5.00 y_{28} & -6.00 y_{29} & +  2.00 y_{30} & +  7.00 y_{31} & -1.00 y_{32}\\
 y_{13}   &  1.0 & +  8.00 y_{17} & -10.00 y_{18} & +  1.00 y_{19} & +  8.00 y_{20} & -2.00 y_{21} & -6.00 y_{22} & +  1.00 y_{23} & -8.00 y_{24} & -6.00 y_{25} & -7.00 y_{26} & -5.00 y_{27} & -9.00 y_{28} & -1.00 y_{29} & +  1.00 y_{30} & +  8.00 y_{31} & -5.00 y_{32}\\
 y_{14}   &  1.0 & +  1.00 y_{17} & -9.00 y_{18} & -2.00 y_{19} & -5.00 y_{20} & -8.00 y_{21} & +  3.00 y_{22} & -8.00 y_{23} & +  1.00 y_{24} & +  9.00 y_{25} & +  5.00 y_{26} & +  7.00 y_{27} & -2.00 y_{28} & -3.00 y_{29} & +  5.00 y_{30} & -3.00 y_{31} & -8.00 y_{32}\\
 y_{15}   &  1.0 & + 10.00 y_{17} & -1.00 y_{18} & -1.00 y_{19} &    &   & -4.00 y_{22} & -10.00 y_{23} & -6.00 y_{24} & -8.00 y_{25} & -2.00 y_{26} & -7.00 y_{27} & +  4.00 y_{28} & -4.00 y_{29} & -6.00 y_{30} & -1.00 y_{31} & +  7.00 y_{32}\\
 y_{16}   &  1.0 & -3.00 y_{17} &   & +  9.00 y_{19} & -10.00 y_{20} & +  7.00 y_{21} & +  3.00 y_{22} & +  1.00 y_{23} & -5.00 y_{24} & +  2.00 y_{25} & +  4.00 y_{26} & +  9.00 y_{27} & -9.00 y_{28} & -6.00 y_{29} & +  2.00 y_{30} & +  9.00 y_{31} & + 10.00 y_{32}\\
\hline
z    &  -0 & +  2.00 y_{17} &   & -3.00 y_{19} & -2.00 y_{20} & -3.00 y_{21} & +  3.00 y_{22} &   & -2.00 y_{24} & +  2.00 y_{25} & -1.00 y_{26} & +  2.00 y_{27} & +  2.00 y_{28} & +  1.00 y_{29} & +  3.00 y_{30} & +  3.00 y_{31} & -3.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 31 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{28}   &  0.340594012887 & -0.03 y_{5} & -1.17 y_{25} & -0.82 y_{23} & +  0.34 y_{19} & -0.06 y_{14} & -2.06 y_{18} & +  0.01 y_{4} & -0.68 y_{24} & -0.03 y_{15} & -0.07 y_{26} & +  0.02 y_{10} & -0.05 y_{1} & -0.05 y_{16} & -0.04 y_{6} & -0.05 y_{9} & -0.06 y_{13}\\
 y_{2}   &  4.06998573175 & +  1.02 y_{5} & +  3.00 y_{25} & -26.98 y_{23} & +  8.93 y_{19} & -1.33 y_{14} & -23.60 y_{18} & -0.65 y_{4} & -7.27 y_{24} & -0.73 y_{15} & -18.15 y_{26} & +  0.34 y_{10} & -0.84 y_{1} & -0.27 y_{16} & -0.40 y_{6} & +  0.35 y_{9} & -0.56 y_{13}\\
 y_{3}   &  13.3627673564 & -0.46 y_{5} & -20.41 y_{25} & -34.91 y_{23} & + 17.93 y_{19} & -2.69 y_{14} & -80.32 y_{18} & -1.00 y_{4} & -19.17 y_{24} & -1.50 y_{15} & +  5.75 y_{26} & -0.01 y_{10} & -1.26 y_{1} & -1.32 y_{16} & -2.18 y_{6} & -1.12 y_{9} & -0.81 y_{13}\\
 y_{8}   &  5.07962987896 & +  0.27 y_{5} & +  9.41 y_{25} & -42.52 y_{23} & +  3.43 y_{19} & -2.24 y_{14} & -47.05 y_{18} & -0.83 y_{4} & -4.29 y_{24} & +  0.33 y_{15} & + 13.63 y_{26} & +  1.40 y_{10} & -0.51 y_{1} & -0.61 y_{16} & -1.40 y_{6} & +  0.82 y_{9} & -1.29 y_{13}\\
 y_{31}   &  0.224696729645 & -0.02 y_{5} & -1.10 y_{25} & -1.11 y_{23} & -0.32 y_{19} & -0.05 y_{14} & -0.64 y_{18} & +  0.03 y_{4} & +  0.05 y_{24} & -0.08 y_{15} & +  0.19 y_{26} & -0.01 y_{10} & -0.04 y_{1} & +  0.01 y_{16} & -0.02 y_{6} & -0.05 y_{9} & +  0.03 y_{13}\\
 y_{22}   &  0.283822167819 & +  0.04 y_{5} & -1.63 y_{25} & -1.98 y_{23} & +  0.02 y_{19} & -0.03 y_{14} & -0.65 y_{18} & +  0.02 y_{4} & -0.87 y_{24} & -0.12 y_{15} & -0.86 y_{26} & -0.03 y_{10} & -0.01 y_{1} & +  0.02 y_{16} & -0.07 y_{6} & -0.07 y_{9} & -0.02 y_{13}\\
 y_{7}   &  6.8491743466 & +  0.14 y_{5} & -5.85 y_{25} & -33.20 y_{23} & + 11.36 y_{19} & -1.54 y_{14} & -56.54 y_{18} & -0.77 y_{4} & -9.33 y_{24} & +  0.29 y_{15} & -6.11 y_{26} & +  0.58 y_{10} & -0.20 y_{1} & -0.91 y_{16} & -1.81 y_{6} & +  0.42 y_{9} & -2.05 y_{13}\\
 y_{32}   &  0.0875296278183 & +  0.06 y_{5} & +  0.49 y_{25} & -2.23 y_{23} & -0.42 y_{19} & -0.08 y_{14} & -1.30 y_{18} & +  0.01 y_{4} & +  0.03 y_{24} & +  0.00 y_{15} & +  0.31 y_{26} & +  0.02 y_{10} & +  0.03 y_{1} & -0.02 y_{16} & -0.11 y_{6} & +  0.07 y_{9} & -0.08 y_{13}\\
 y_{20}   &  0.24019194691 & +  0.07 y_{5} & -0.27 y_{25} & -3.47 y_{23} & -0.08 y_{19} & -0.11 y_{14} & -1.57 y_{18} & +  0.02 y_{4} & -0.73 y_{24} & -0.09 y_{15} & +  0.01 y_{26} & +  0.04 y_{10} & +  0.01 y_{1} & -0.03 y_{16} & -0.10 y_{6} & +  0.01 y_{9} & -0.05 y_{13}\\
 y_{27}   &  0.317696437118 & +  0.08 y_{5} & +  0.53 y_{25} & -3.97 y_{23} & -0.41 y_{19} & -0.14 y_{14} & -3.01 y_{18} & -0.03 y_{4} & -0.98 y_{24} & -0.06 y_{15} & -0.10 y_{26} & +  0.06 y_{10} & -0.04 y_{1} & -0.04 y_{16} & -0.12 y_{6} & +  0.08 y_{9} & -0.11 y_{13}\\
 y_{17}   &  0.311742368948 & +  0.03 y_{5} & +  0.60 y_{25} & -2.04 y_{23} & +  0.14 y_{19} & -0.10 y_{14} & -2.49 y_{18} & -0.05 y_{4} & -0.49 y_{24} & +  0.00 y_{15} & +  0.07 y_{26} & +  0.03 y_{10} & -0.05 y_{1} & -0.05 y_{16} & -0.11 y_{6} & +  0.02 y_{9} & -0.05 y_{13}\\
 y_{12}   &  5.55063869056 & -0.13 y_{5} & -44.94 y_{25} & -27.46 y_{23} & -3.14 y_{19} & -0.36 y_{14} & -0.64 y_{18} & +  0.95 y_{4} & -13.71 y_{24} & -2.12 y_{15} & -9.87 y_{26} & -0.14 y_{10} & -0.32 y_{1} & +  0.30 y_{16} & -0.62 y_{6} & -2.00 y_{9} & -0.08 y_{13}\\
 y_{11}   &  2.40200889346 & -1.46 y_{5} & -34.65 y_{25} & + 38.24 y_{23} & +  2.39 y_{19} & +  0.95 y_{14} & + 16.85 y_{18} & +  0.16 y_{4} & +  1.65 y_{24} & -0.78 y_{15} & -0.29 y_{26} & -0.75 y_{10} & -0.41 y_{1} & +  0.44 y_{16} & +  1.24 y_{6} & -1.66 y_{9} & +  0.87 y_{13}\\
 y_{21}   &  0.103776032389 & -0.04 y_{5} & +  0.33 y_{25} & +  0.78 y_{23} & +  0.29 y_{19} & -0.03 y_{14} & -1.08 y_{18} & -0.05 y_{4} & -0.38 y_{24} & +  0.02 y_{15} & -0.25 y_{26} & +  0.01 y_{10} & -0.04 y_{1} & +  0.02 y_{16} & +  0.05 y_{6} & -0.05 y_{9} & +  0.01 y_{13}\\
 y_{30}   &  0.166429926836 & -0.05 y_{5} & -0.89 y_{25} & +  0.05 y_{23} & +  0.45 y_{19} & -0.00 y_{14} & -1.33 y_{18} & -0.02 y_{4} & -0.11 y_{24} & +  0.01 y_{15} & +  0.28 y_{26} & +  0.02 y_{10} & +  0.01 y_{1} & -0.04 y_{16} & -0.06 y_{6} & -0.01 y_{9} & -0.04 y_{13}\\
 y_{29}   &  0.377516778497 & +  0.05 y_{5} & +  1.48 y_{25} & -3.20 y_{23} & -0.22 y_{19} & -0.15 y_{14} & -2.73 y_{18} & -0.05 y_{4} & -0.60 y_{24} & -0.05 y_{15} & +  0.73 y_{26} & +  0.01 y_{10} & -0.03 y_{1} & -0.08 y_{16} & -0.12 y_{6} & +  0.10 y_{9} & -0.06 y_{13}\\
\hline
z    &  3.28812801486 & -0.07 y_{5} & -9.36 y_{25} & -14.73 y_{23} & -2.04 y_{19} & -0.43 y_{14} & -15.40 y_{18} & -0.02 y_{4} & -7.16 y_{24} & -0.69 y_{15} & -1.86 y_{26} & -0.01 y_{10} & -0.42 y_{1} & -0.34 y_{16} & -0.72 y_{6} & -0.30 y_{9} & -0.28 y_{13}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.0698532678931 & +  0.03 x_{28} & -1.02 x_{2} & +  0.46 x_{3} & -0.27 x_{8} & +  0.02 x_{31} & -0.04 x_{22} & -0.14 x_{7} & -0.06 x_{32} & -0.07 x_{20} & -0.08 x_{27} & -0.03 x_{17} & +  0.13 x_{12} & +  1.46 x_{11} & +  0.04 x_{21} & +  0.05 x_{30} & -0.05 x_{29}\\
 x_{25}   &  9.36350579684 & +  1.17 x_{28} & -3.00 x_{2} & + 20.41 x_{3} & -9.41 x_{8} & +  1.10 x_{31} & +  1.63 x_{22} & +  5.85 x_{7} & -0.49 x_{32} & +  0.27 x_{20} & -0.53 x_{27} & -0.60 x_{17} & + 44.94 x_{12} & + 34.65 x_{11} & -0.33 x_{21} & +  0.89 x_{30} & -1.48 x_{29}\\
 x_{23}   &  14.7260061617 & +  0.82 x_{28} & + 26.98 x_{2} & + 34.91 x_{3} & + 42.52 x_{8} & +  1.11 x_{31} & +  1.98 x_{22} & + 33.20 x_{7} & +  2.23 x_{32} & +  3.47 x_{20} & +  3.97 x_{27} & +  2.04 x_{17} & + 27.46 x_{12} & -38.24 x_{11} & -0.78 x_{21} & -0.05 x_{30} & +  3.20 x_{29}\\
 x_{19}   &  2.0418172796 & -0.34 x_{28} & -8.93 x_{2} & -17.93 x_{3} & -3.43 x_{8} & +  0.32 x_{31} & -0.02 x_{22} & -11.36 x_{7} & +  0.42 x_{32} & +  0.08 x_{20} & +  0.41 x_{27} & -0.14 x_{17} & +  3.14 x_{12} & -2.39 x_{11} & -0.29 x_{21} & -0.45 x_{30} & +  0.22 x_{29}\\
 x_{14}   &  0.434492320348 & +  0.06 x_{28} & +  1.33 x_{2} & +  2.69 x_{3} & +  2.24 x_{8} & +  0.05 x_{31} & +  0.03 x_{22} & +  1.54 x_{7} & +  0.08 x_{32} & +  0.11 x_{20} & +  0.14 x_{27} & +  0.10 x_{17} & +  0.36 x_{12} & -0.95 x_{11} & +  0.03 x_{21} & +  0.00 x_{30} & +  0.15 x_{29}\\
 x_{18}   &  15.3998259469 & +  2.06 x_{28} & + 23.60 x_{2} & + 80.32 x_{3} & + 47.05 x_{8} & +  0.64 x_{31} & +  0.65 x_{22} & + 56.54 x_{7} & +  1.30 x_{32} & +  1.57 x_{20} & +  3.01 x_{27} & +  2.49 x_{17} & +  0.64 x_{12} & -16.85 x_{11} & +  1.08 x_{21} & +  1.33 x_{30} & +  2.73 x_{29}\\
 x_{4}   &  0.0155796163343 & -0.01 x_{28} & +  0.65 x_{2} & +  1.00 x_{3} & +  0.83 x_{8} & -0.03 x_{31} & -0.02 x_{22} & +  0.77 x_{7} & -0.01 x_{32} & -0.02 x_{20} & +  0.03 x_{27} & +  0.05 x_{17} & -0.95 x_{12} & -0.16 x_{11} & +  0.05 x_{21} & +  0.02 x_{30} & +  0.05 x_{29}\\
 x_{24}   &  7.15734594131 & +  0.68 x_{28} & +  7.27 x_{2} & + 19.17 x_{3} & +  4.29 x_{8} & -0.05 x_{31} & +  0.87 x_{22} & +  9.33 x_{7} & -0.03 x_{32} & +  0.73 x_{20} & +  0.98 x_{27} & +  0.49 x_{17} & + 13.71 x_{12} & -1.65 x_{11} & +  0.38 x_{21} & +  0.11 x_{30} & +  0.60 x_{29}\\
 x_{15}   &  0.693443460113 & +  0.03 x_{28} & +  0.73 x_{2} & +  1.50 x_{3} & -0.33 x_{8} & +  0.08 x_{31} & +  0.12 x_{22} & -0.29 x_{7} & -0.00 x_{32} & +  0.09 x_{20} & +  0.06 x_{27} & -0.00 x_{17} & +  2.12 x_{12} & +  0.78 x_{11} & -0.02 x_{21} & -0.01 x_{30} & +  0.05 x_{29}\\
 x_{26}   &  1.86284547736 & +  0.07 x_{28} & + 18.15 x_{2} & -5.75 x_{3} & -13.63 x_{8} & -0.19 x_{31} & +  0.86 x_{22} & +  6.11 x_{7} & -0.31 x_{32} & -0.01 x_{20} & +  0.10 x_{27} & -0.07 x_{17} & +  9.87 x_{12} & +  0.29 x_{11} & +  0.25 x_{21} & -0.28 x_{30} & -0.73 x_{29}\\
 x_{10}   &  0.0123133733072 & -0.02 x_{28} & -0.34 x_{2} & +  0.01 x_{3} & -1.40 x_{8} & +  0.01 x_{31} & +  0.03 x_{22} & -0.58 x_{7} & -0.02 x_{32} & -0.04 x_{20} & -0.06 x_{27} & -0.03 x_{17} & +  0.14 x_{12} & +  0.75 x_{11} & -0.01 x_{21} & -0.02 x_{30} & -0.01 x_{29}\\
 x_{1}   &  0.416589637116 & +  0.05 x_{28} & +  0.84 x_{2} & +  1.26 x_{3} & +  0.51 x_{8} & +  0.04 x_{31} & +  0.01 x_{22} & +  0.20 x_{7} & -0.03 x_{32} & -0.01 x_{20} & +  0.04 x_{27} & +  0.05 x_{17} & +  0.32 x_{12} & +  0.41 x_{11} & +  0.04 x_{21} & -0.01 x_{30} & +  0.03 x_{29}\\
 x_{16}   &  0.339153437034 & +  0.05 x_{28} & +  0.27 x_{2} & +  1.32 x_{3} & +  0.61 x_{8} & -0.01 x_{31} & -0.02 x_{22} & +  0.91 x_{7} & +  0.02 x_{32} & +  0.03 x_{20} & +  0.04 x_{27} & +  0.05 x_{17} & -0.30 x_{12} & -0.44 x_{11} & -0.02 x_{21} & +  0.04 x_{30} & +  0.08 x_{29}\\
 x_{6}   &  0.72330191568 & +  0.04 x_{28} & +  0.40 x_{2} & +  2.18 x_{3} & +  1.40 x_{8} & +  0.02 x_{31} & +  0.07 x_{22} & +  1.81 x_{7} & +  0.11 x_{32} & +  0.10 x_{20} & +  0.12 x_{27} & +  0.11 x_{17} & +  0.62 x_{12} & -1.24 x_{11} & -0.05 x_{21} & +  0.06 x_{30} & +  0.12 x_{29}\\
 x_{9}   &  0.303740965667 & +  0.05 x_{28} & -0.35 x_{2} & +  1.12 x_{3} & -0.82 x_{8} & +  0.05 x_{31} & +  0.07 x_{22} & -0.42 x_{7} & -0.07 x_{32} & -0.01 x_{20} & -0.08 x_{27} & -0.02 x_{17} & +  2.00 x_{12} & +  1.66 x_{11} & +  0.05 x_{21} & +  0.01 x_{30} & -0.10 x_{29}\\
 x_{13}   &  0.279660021372 & +  0.06 x_{28} & +  0.56 x_{2} & +  0.81 x_{3} & +  1.29 x_{8} & -0.03 x_{31} & +  0.02 x_{22} & +  2.05 x_{7} & +  0.08 x_{32} & +  0.05 x_{20} & +  0.11 x_{27} & +  0.05 x_{17} & +  0.08 x_{12} & -0.87 x_{11} & -0.01 x_{21} & +  0.04 x_{30} & +  0.06 x_{29}\\
\hline
z    &  -3.28812801486 & -0.34 x_{28} & -4.07 x_{2} & -13.36 x_{3} & -5.08 x_{8} & -0.22 x_{31} & -0.28 x_{22} & -6.85 x_{7} & -0.09 x_{32} & -0.24 x_{20} & -0.32 x_{27} & -0.31 x_{17} & -5.55 x_{12} & -2.40 x_{11} & -0.10 x_{21} & -0.17 x_{30} & -0.38 x_{29}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.0698532678931 & +  0.03 x_{28} & -1.02 x_{2} & +  0.46 x_{3} & -0.27 x_{8} & +  0.02 x_{31} & -0.04 x_{22} & -0.14 x_{7} & -0.06 x_{32} & -0.07 x_{20} & -0.08 x_{27} & -0.03 x_{17} & +  0.13 x_{12} & +  1.46 x_{11} & +  0.04 x_{21} & +  0.05 x_{30} & -0.05 x_{29}\\
 x_{25}   &  9.36350579684 & +  1.17 x_{28} & -3.00 x_{2} & + 20.41 x_{3} & -9.41 x_{8} & +  1.10 x_{31} & +  1.63 x_{22} & +  5.85 x_{7} & -0.49 x_{32} & +  0.27 x_{20} & -0.53 x_{27} & -0.60 x_{17} & + 44.94 x_{12} & + 34.65 x_{11} & -0.33 x_{21} & +  0.89 x_{30} & -1.48 x_{29}\\
 x_{23}   &  14.7260061617 & +  0.82 x_{28} & + 26.98 x_{2} & + 34.91 x_{3} & + 42.52 x_{8} & +  1.11 x_{31} & +  1.98 x_{22} & + 33.20 x_{7} & +  2.23 x_{32} & +  3.47 x_{20} & +  3.97 x_{27} & +  2.04 x_{17} & + 27.46 x_{12} & -38.24 x_{11} & -0.78 x_{21} & -0.05 x_{30} & +  3.20 x_{29}\\
 x_{19}   &  2.0418172796 & -0.34 x_{28} & -8.93 x_{2} & -17.93 x_{3} & -3.43 x_{8} & +  0.32 x_{31} & -0.02 x_{22} & -11.36 x_{7} & +  0.42 x_{32} & +  0.08 x_{20} & +  0.41 x_{27} & -0.14 x_{17} & +  3.14 x_{12} & -2.39 x_{11} & -0.29 x_{21} & -0.45 x_{30} & +  0.22 x_{29}\\
 x_{14}   &  0.434492320348 & +  0.06 x_{28} & +  1.33 x_{2} & +  2.69 x_{3} & +  2.24 x_{8} & +  0.05 x_{31} & +  0.03 x_{22} & +  1.54 x_{7} & +  0.08 x_{32} & +  0.11 x_{20} & +  0.14 x_{27} & +  0.10 x_{17} & +  0.36 x_{12} & -0.95 x_{11} & +  0.03 x_{21} & +  0.00 x_{30} & +  0.15 x_{29}\\
 x_{18}   &  15.3998259469 & +  2.06 x_{28} & + 23.60 x_{2} & + 80.32 x_{3} & + 47.05 x_{8} & +  0.64 x_{31} & +  0.65 x_{22} & + 56.54 x_{7} & +  1.30 x_{32} & +  1.57 x_{20} & +  3.01 x_{27} & +  2.49 x_{17} & +  0.64 x_{12} & -16.85 x_{11} & +  1.08 x_{21} & +  1.33 x_{30} & +  2.73 x_{29}\\
 x_{4}   &  0.0155796163343 & -0.01 x_{28} & +  0.65 x_{2} & +  1.00 x_{3} & +  0.83 x_{8} & -0.03 x_{31} & -0.02 x_{22} & +  0.77 x_{7} & -0.01 x_{32} & -0.02 x_{20} & +  0.03 x_{27} & +  0.05 x_{17} & -0.95 x_{12} & -0.16 x_{11} & +  0.05 x_{21} & +  0.02 x_{30} & +  0.05 x_{29}\\
 x_{24}   &  7.15734594131 & +  0.68 x_{28} & +  7.27 x_{2} & + 19.17 x_{3} & +  4.29 x_{8} & -0.05 x_{31} & +  0.87 x_{22} & +  9.33 x_{7} & -0.03 x_{32} & +  0.73 x_{20} & +  0.98 x_{27} & +  0.49 x_{17} & + 13.71 x_{12} & -1.65 x_{11} & +  0.38 x_{21} & +  0.11 x_{30} & +  0.60 x_{29}\\
 x_{15}   &  0.693443460113 & +  0.03 x_{28} & +  0.73 x_{2} & +  1.50 x_{3} & -0.33 x_{8} & +  0.08 x_{31} & +  0.12 x_{22} & -0.29 x_{7} & -0.00 x_{32} & +  0.09 x_{20} & +  0.06 x_{27} & -0.00 x_{17} & +  2.12 x_{12} & +  0.78 x_{11} & -0.02 x_{21} & -0.01 x_{30} & +  0.05 x_{29}\\
 x_{26}   &  1.86284547736 & +  0.07 x_{28} & + 18.15 x_{2} & -5.75 x_{3} & -13.63 x_{8} & -0.19 x_{31} & +  0.86 x_{22} & +  6.11 x_{7} & -0.31 x_{32} & -0.01 x_{20} & +  0.10 x_{27} & -0.07 x_{17} & +  9.87 x_{12} & +  0.29 x_{11} & +  0.25 x_{21} & -0.28 x_{30} & -0.73 x_{29}\\
 x_{10}   &  0.0123133733072 & -0.02 x_{28} & -0.34 x_{2} & +  0.01 x_{3} & -1.40 x_{8} & +  0.01 x_{31} & +  0.03 x_{22} & -0.58 x_{7} & -0.02 x_{32} & -0.04 x_{20} & -0.06 x_{27} & -0.03 x_{17} & +  0.14 x_{12} & +  0.75 x_{11} & -0.01 x_{21} & -0.02 x_{30} & -0.01 x_{29}\\
 x_{1}   &  0.416589637116 & +  0.05 x_{28} & +  0.84 x_{2} & +  1.26 x_{3} & +  0.51 x_{8} & +  0.04 x_{31} & +  0.01 x_{22} & +  0.20 x_{7} & -0.03 x_{32} & -0.01 x_{20} & +  0.04 x_{27} & +  0.05 x_{17} & +  0.32 x_{12} & +  0.41 x_{11} & +  0.04 x_{21} & -0.01 x_{30} & +  0.03 x_{29}\\
 x_{16}   &  0.339153437034 & +  0.05 x_{28} & +  0.27 x_{2} & +  1.32 x_{3} & +  0.61 x_{8} & -0.01 x_{31} & -0.02 x_{22} & +  0.91 x_{7} & +  0.02 x_{32} & +  0.03 x_{20} & +  0.04 x_{27} & +  0.05 x_{17} & -0.30 x_{12} & -0.44 x_{11} & -0.02 x_{21} & +  0.04 x_{30} & +  0.08 x_{29}\\
 x_{6}   &  0.72330191568 & +  0.04 x_{28} & +  0.40 x_{2} & +  2.18 x_{3} & +  1.40 x_{8} & +  0.02 x_{31} & +  0.07 x_{22} & +  1.81 x_{7} & +  0.11 x_{32} & +  0.10 x_{20} & +  0.12 x_{27} & +  0.11 x_{17} & +  0.62 x_{12} & -1.24 x_{11} & -0.05 x_{21} & +  0.06 x_{30} & +  0.12 x_{29}\\
 x_{9}   &  0.303740965667 & +  0.05 x_{28} & -0.35 x_{2} & +  1.12 x_{3} & -0.82 x_{8} & +  0.05 x_{31} & +  0.07 x_{22} & -0.42 x_{7} & -0.07 x_{32} & -0.01 x_{20} & -0.08 x_{27} & -0.02 x_{17} & +  2.00 x_{12} & +  1.66 x_{11} & +  0.05 x_{21} & +  0.01 x_{30} & -0.10 x_{29}\\
 x_{13}   &  0.279660021372 & +  0.06 x_{28} & +  0.56 x_{2} & +  0.81 x_{3} & +  1.29 x_{8} & -0.03 x_{31} & +  0.02 x_{22} & +  2.05 x_{7} & +  0.08 x_{32} & +  0.05 x_{20} & +  0.11 x_{27} & +  0.05 x_{17} & +  0.08 x_{12} & -0.87 x_{11} & -0.01 x_{21} & +  0.04 x_{30} & +  0.06 x_{29}\\
\hline
z    &  -4.93895707338 & -0.53 x_{28} & -6.93 x_{2} & -19.96 x_{3} & -19.77 x_{8} & -0.12 x_{31} & -0.11 x_{22} & -16.38 x_{7} & -0.69 x_{32} & -0.43 x_{20} & -1.25 x_{27} & -1.02 x_{17} & +  9.14 x_{12} & + 13.50 x_{11} & -0.15 x_{21} & -0.24 x_{30} & -1.34 x_{29}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.0698532678931 & +  0.03 x_{28} & -1.02 x_{2} & +  0.46 x_{3} & -0.27 x_{8} & +  0.02 x_{31} & -0.04 x_{22} & -0.14 x_{7} & -0.06 x_{32} & -0.07 x_{20} & -0.08 x_{27} & -0.03 x_{17} & +  0.13 x_{12} & +  1.46 x_{11} & +  0.04 x_{21} & +  0.05 x_{30} & -0.05 x_{29}\\
 x_{25}   &  9.36350579684 & +  1.17 x_{28} & -3.00 x_{2} & + 20.41 x_{3} & -9.41 x_{8} & +  1.10 x_{31} & +  1.63 x_{22} & +  5.85 x_{7} & -0.49 x_{32} & +  0.27 x_{20} & -0.53 x_{27} & -0.60 x_{17} & + 44.94 x_{12} & + 34.65 x_{11} & -0.33 x_{21} & +  0.89 x_{30} & -1.48 x_{29}\\
 x_{23}   &  14.7260061617 & +  0.82 x_{28} & + 26.98 x_{2} & + 34.91 x_{3} & + 42.52 x_{8} & +  1.11 x_{31} & +  1.98 x_{22} & + 33.20 x_{7} & +  2.23 x_{32} & +  3.47 x_{20} & +  3.97 x_{27} & +  2.04 x_{17} & + 27.46 x_{12} & -38.24 x_{11} & -0.78 x_{21} & -0.05 x_{30} & +  3.20 x_{29}\\
 x_{19}   &  2.0418172796 & -0.34 x_{28} & -8.93 x_{2} & -17.93 x_{3} & -3.43 x_{8} & +  0.32 x_{31} & -0.02 x_{22} & -11.36 x_{7} & +  0.42 x_{32} & +  0.08 x_{20} & +  0.41 x_{27} & -0.14 x_{17} & +  3.14 x_{12} & -2.39 x_{11} & -0.29 x_{21} & -0.45 x_{30} & +  0.22 x_{29}\\
 x_{14}   &  0.434492320348 & +  0.06 x_{28} & +  1.33 x_{2} & +  2.69 x_{3} & +  2.24 x_{8} & +  0.05 x_{31} & +  0.03 x_{22} & +  1.54 x_{7} & +  0.08 x_{32} & +  0.11 x_{20} & +  0.14 x_{27} & +  0.10 x_{17} & +  0.36 x_{12} & -0.95 x_{11} & +  0.03 x_{21} & +  0.00 x_{30} & +  0.15 x_{29}\\
 x_{18}   &  15.3998259469 & +  2.06 x_{28} & + 23.60 x_{2} & + 80.32 x_{3} & + 47.05 x_{8} & +  0.64 x_{31} & +  0.65 x_{22} & + 56.54 x_{7} & +  1.30 x_{32} & +  1.57 x_{20} & +  3.01 x_{27} & +  2.49 x_{17} & +  0.64 x_{12} & -16.85 x_{11} & +  1.08 x_{21} & +  1.33 x_{30} & +  2.73 x_{29}\\
 x_{4}   &  0.0155796163343 & -0.01 x_{28} & +  0.65 x_{2} & +  1.00 x_{3} & +  0.83 x_{8} & -0.03 x_{31} & -0.02 x_{22} & +  0.77 x_{7} & -0.01 x_{32} & -0.02 x_{20} & +  0.03 x_{27} & +  0.05 x_{17} & -0.95 x_{12} & -0.16 x_{11} & +  0.05 x_{21} & +  0.02 x_{30} & +  0.05 x_{29}\\
 x_{24}   &  7.15734594131 & +  0.68 x_{28} & +  7.27 x_{2} & + 19.17 x_{3} & +  4.29 x_{8} & -0.05 x_{31} & +  0.87 x_{22} & +  9.33 x_{7} & -0.03 x_{32} & +  0.73 x_{20} & +  0.98 x_{27} & +  0.49 x_{17} & + 13.71 x_{12} & -1.65 x_{11} & +  0.38 x_{21} & +  0.11 x_{30} & +  0.60 x_{29}\\
 x_{15}   &  0.693443460113 & +  0.03 x_{28} & +  0.73 x_{2} & +  1.50 x_{3} & -0.33 x_{8} & +  0.08 x_{31} & +  0.12 x_{22} & -0.29 x_{7} & -0.00 x_{32} & +  0.09 x_{20} & +  0.06 x_{27} & -0.00 x_{17} & +  2.12 x_{12} & +  0.78 x_{11} & -0.02 x_{21} & -0.01 x_{30} & +  0.05 x_{29}\\
 x_{26}   &  1.86284547736 & +  0.07 x_{28} & + 18.15 x_{2} & -5.75 x_{3} & -13.63 x_{8} & -0.19 x_{31} & +  0.86 x_{22} & +  6.11 x_{7} & -0.31 x_{32} & -0.01 x_{20} & +  0.10 x_{27} & -0.07 x_{17} & +  9.87 x_{12} & +  0.29 x_{11} & +  0.25 x_{21} & -0.28 x_{30} & -0.73 x_{29}\\
 x_{10}   &  0.0123133733072 & -0.02 x_{28} & -0.34 x_{2} & +  0.01 x_{3} & -1.40 x_{8} & +  0.01 x_{31} & +  0.03 x_{22} & -0.58 x_{7} & -0.02 x_{32} & -0.04 x_{20} & -0.06 x_{27} & -0.03 x_{17} & +  0.14 x_{12} & +  0.75 x_{11} & -0.01 x_{21} & -0.02 x_{30} & -0.01 x_{29}\\
 x_{1}   &  0.416589637116 & +  0.05 x_{28} & +  0.84 x_{2} & +  1.26 x_{3} & +  0.51 x_{8} & +  0.04 x_{31} & +  0.01 x_{22} & +  0.20 x_{7} & -0.03 x_{32} & -0.01 x_{20} & +  0.04 x_{27} & +  0.05 x_{17} & +  0.32 x_{12} & +  0.41 x_{11} & +  0.04 x_{21} & -0.01 x_{30} & +  0.03 x_{29}\\
 x_{16}   &  0.339153437034 & +  0.05 x_{28} & +  0.27 x_{2} & +  1.32 x_{3} & +  0.61 x_{8} & -0.01 x_{31} & -0.02 x_{22} & +  0.91 x_{7} & +  0.02 x_{32} & +  0.03 x_{20} & +  0.04 x_{27} & +  0.05 x_{17} & -0.30 x_{12} & -0.44 x_{11} & -0.02 x_{21} & +  0.04 x_{30} & +  0.08 x_{29}\\
 x_{6}   &  0.72330191568 & +  0.04 x_{28} & +  0.40 x_{2} & +  2.18 x_{3} & +  1.40 x_{8} & +  0.02 x_{31} & +  0.07 x_{22} & +  1.81 x_{7} & +  0.11 x_{32} & +  0.10 x_{20} & +  0.12 x_{27} & +  0.11 x_{17} & +  0.62 x_{12} & -1.24 x_{11} & -0.05 x_{21} & +  0.06 x_{30} & +  0.12 x_{29}\\
 x_{9}   &  0.303740965667 & +  0.05 x_{28} & -0.35 x_{2} & +  1.12 x_{3} & -0.82 x_{8} & +  0.05 x_{31} & +  0.07 x_{22} & -0.42 x_{7} & -0.07 x_{32} & -0.01 x_{20} & -0.08 x_{27} & -0.02 x_{17} & +  2.00 x_{12} & +  1.66 x_{11} & +  0.05 x_{21} & +  0.01 x_{30} & -0.10 x_{29}\\
 x_{13}   &  0.279660021372 & +  0.06 x_{28} & +  0.56 x_{2} & +  0.81 x_{3} & +  1.29 x_{8} & -0.03 x_{31} & +  0.02 x_{22} & +  2.05 x_{7} & +  0.08 x_{32} & +  0.05 x_{20} & +  0.11 x_{27} & +  0.05 x_{17} & +  0.08 x_{12} & -0.87 x_{11} & -0.01 x_{21} & +  0.04 x_{30} & +  0.06 x_{29}\\
\hline
z    &  -4.93895707338 & -0.53 x_{28} & -6.93 x_{2} & -19.96 x_{3} & -19.77 x_{8} & -0.12 x_{31} & -0.11 x_{22} & -16.38 x_{7} & -0.69 x_{32} & -0.43 x_{20} & -1.25 x_{27} & -1.02 x_{17} & +  9.14 x_{12} & + 13.50 x_{11} & -0.15 x_{21} & -0.24 x_{30} & -1.34 x_{29}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.211616313133 & -0.04 x_{28} & +  4.88 x_{2} & +  9.59 x_{3} & +  7.30 x_{8} & -0.24 x_{31} & -0.23 x_{22} & +  6.88 x_{7} & -0.13 x_{32} & -0.21 x_{20} & +  0.20 x_{27} & +  0.42 x_{17} & -8.47 x_{12} & -9.10 x_{4} & +  0.47 x_{21} & +  0.20 x_{30} & +  0.43 x_{29}\\
 x_{25}   &  12.7350751444 & -0.59 x_{28} & + 137.22 x_{2} & + 237.62 x_{3} & + 170.66 x_{8} & -5.10 x_{31} & -2.85 x_{22} & + 173.03 x_{7} & -2.27 x_{32} & -3.20 x_{20} & +  6.07 x_{27} & + 10.27 x_{17} & -159.70 x_{12} & -216.41 x_{4} & +  9.80 x_{21} & +  4.46 x_{30} & +  9.92 x_{29}\\
 x_{23}   &  11.0046256694 & +  2.77 x_{28} & -127.79 x_{2} & -204.83 x_{3} & -156.24 x_{8} & +  7.96 x_{31} & +  6.92 x_{22} & -151.33 x_{7} & +  4.20 x_{32} & +  7.30 x_{20} & -3.32 x_{27} & -9.95 x_{17} & + 253.33 x_{12} & + 238.86 x_{4} & -11.97 x_{21} & -3.99 x_{30} & -9.38 x_{29}\\
 x_{19}   &  1.80890088228 & -0.21 x_{28} & -18.62 x_{2} & -32.93 x_{3} & -15.87 x_{8} & +  0.74 x_{31} & +  0.29 x_{22} & -22.91 x_{7} & +  0.54 x_{32} & +  0.32 x_{20} & -0.05 x_{27} & -0.89 x_{17} & + 17.28 x_{12} & + 14.95 x_{4} & -0.99 x_{21} & -0.70 x_{30} & -0.57 x_{29}\\
 x_{14}   &  0.341955325243 & +  0.11 x_{28} & -2.51 x_{2} & -3.27 x_{3} & -2.70 x_{8} & +  0.22 x_{31} & +  0.15 x_{22} & -3.05 x_{7} & +  0.13 x_{32} & +  0.21 x_{20} & -0.04 x_{27} & -0.20 x_{17} & +  5.98 x_{12} & +  5.94 x_{4} & -0.24 x_{21} & -0.10 x_{30} & -0.16 x_{29}\\
 x_{18}   &  13.7603969845 & +  2.92 x_{28} & -44.59 x_{2} & -25.30 x_{3} & -40.51 x_{8} & +  3.66 x_{31} & +  2.83 x_{22} & -24.75 x_{7} & +  2.17 x_{32} & +  3.26 x_{20} & -0.20 x_{27} & -2.80 x_{17} & + 100.15 x_{12} & + 105.23 x_{4} & -3.84 x_{21} & -0.41 x_{30} & -2.82 x_{29}\\
 x_{11}   &  0.097305097399 & -0.05 x_{28} & +  4.05 x_{2} & +  6.27 x_{3} & +  5.20 x_{8} & -0.18 x_{31} & -0.13 x_{22} & +  4.82 x_{7} & -0.05 x_{32} & -0.10 x_{20} & +  0.19 x_{27} & +  0.31 x_{17} & -5.91 x_{12} & -6.25 x_{4} & +  0.29 x_{21} & +  0.10 x_{30} & +  0.33 x_{29}\\
 x_{24}   &  6.99700045222 & +  0.76 x_{28} & +  0.60 x_{2} & +  8.84 x_{3} & -4.28 x_{8} & +  0.24 x_{31} & +  1.09 x_{22} & +  1.37 x_{7} & +  0.06 x_{32} & +  0.90 x_{20} & +  0.66 x_{27} & -0.03 x_{17} & + 23.44 x_{12} & + 10.29 x_{4} & -0.10 x_{21} & -0.06 x_{30} & +  0.06 x_{29}\\
 x_{15}   &  0.769500982375 & -0.01 x_{28} & +  3.89 x_{2} & +  6.40 x_{3} & +  3.74 x_{8} & -0.06 x_{31} & +  0.02 x_{22} & +  3.48 x_{7} & -0.04 x_{32} & +  0.01 x_{20} & +  0.21 x_{27} & +  0.24 x_{17} & -2.49 x_{12} & -4.88 x_{4} & +  0.21 x_{21} & +  0.07 x_{30} & +  0.30 x_{29}\\
 x_{26}   &  1.89106325002 & +  0.06 x_{28} & + 19.33 x_{2} & -3.93 x_{3} & -12.13 x_{8} & -0.24 x_{31} & +  0.82 x_{22} & +  7.51 x_{7} & -0.33 x_{32} & -0.04 x_{20} & +  0.16 x_{27} & +  0.02 x_{17} & +  8.15 x_{12} & -1.81 x_{4} & +  0.33 x_{21} & -0.25 x_{30} & -0.64 x_{29}\\
 x_{10}   &  0.0855759164695 & -0.06 x_{28} & +  2.71 x_{2} & +  4.73 x_{3} & +  2.52 x_{8} & -0.12 x_{31} & -0.07 x_{22} & +  3.05 x_{7} & -0.06 x_{32} & -0.12 x_{20} & +  0.08 x_{27} & +  0.21 x_{17} & -4.31 x_{12} & -4.70 x_{4} & +  0.21 x_{21} & +  0.05 x_{30} & +  0.24 x_{29}\\
 x_{1}   &  0.456038268037 & +  0.03 x_{28} & +  2.48 x_{2} & +  3.81 x_{3} & +  2.62 x_{8} & -0.03 x_{31} & -0.04 x_{22} & +  2.16 x_{7} & -0.06 x_{32} & -0.05 x_{20} & +  0.12 x_{27} & +  0.17 x_{17} & -2.07 x_{12} & -2.53 x_{4} & +  0.16 x_{21} & +  0.03 x_{30} & +  0.16 x_{29}\\
 x_{16}   &  0.296767001511 & +  0.07 x_{28} & -1.49 x_{2} & -1.41 x_{3} & -1.65 x_{8} & +  0.07 x_{31} & +  0.04 x_{22} & -1.19 x_{7} & +  0.04 x_{32} & +  0.08 x_{20} & -0.04 x_{27} & -0.09 x_{17} & +  2.28 x_{12} & +  2.72 x_{4} & -0.14 x_{21} & -0.00 x_{30} & -0.06 x_{29}\\
 x_{6}   &  0.602521940453 & +  0.10 x_{28} & -4.63 x_{2} & -5.60 x_{3} & -5.05 x_{8} & +  0.25 x_{31} & +  0.23 x_{22} & -4.18 x_{7} & +  0.17 x_{32} & +  0.22 x_{20} & -0.12 x_{27} & -0.28 x_{17} & +  7.95 x_{12} & +  7.75 x_{4} & -0.41 x_{21} & -0.07 x_{30} & -0.29 x_{29}\\
 x_{9}   &  0.465323551589 & -0.03 x_{28} & +  6.37 x_{2} & + 11.53 x_{3} & +  7.81 x_{8} & -0.24 x_{31} & -0.14 x_{22} & +  7.60 x_{7} & -0.16 x_{32} & -0.18 x_{20} & +  0.24 x_{27} & +  0.50 x_{17} & -7.80 x_{12} & -10.37 x_{4} & +  0.53 x_{21} & +  0.18 x_{30} & +  0.45 x_{29}\\
 x_{13}   &  0.195251327987 & +  0.11 x_{28} & -2.95 x_{2} & -4.63 x_{3} & -3.21 x_{8} & +  0.13 x_{31} & +  0.13 x_{22} & -2.14 x_{7} & +  0.12 x_{32} & +  0.14 x_{20} & -0.06 x_{27} & -0.22 x_{17} & +  5.21 x_{12} & +  5.42 x_{4} & -0.26 x_{21} & -0.05 x_{30} & -0.22 x_{29}\\
\hline
z    &  -3.62582469924 & -1.21 x_{28} & + 47.68 x_{2} & + 64.64 x_{3} & + 50.37 x_{8} & -2.53 x_{31} & -1.85 x_{22} & + 48.73 x_{7} & -1.39 x_{32} & -1.78 x_{20} & +  1.32 x_{27} & +  3.21 x_{17} & -70.56 x_{12} & -84.29 x_{4} & +  3.80 x_{21} & +  1.15 x_{30} & +  3.10 x_{29}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.534700989881 & +  0.13 x_{28} & -1.65 x_{13} & +  1.93 x_{3} & +  1.98 x_{8} & -0.02 x_{31} & -0.01 x_{22} & +  3.35 x_{7} & +  0.07 x_{32} & +  0.01 x_{20} & +  0.10 x_{27} & +  0.05 x_{17} & +  0.15 x_{12} & -0.13 x_{4} & +  0.04 x_{21} & +  0.11 x_{30} & +  0.06 x_{29}\\
 x_{25}   &  21.8268814497 & +  4.31 x_{28} & -46.56 x_{13} & + 22.02 x_{3} & + 20.97 x_{8} & +  0.95 x_{31} & +  3.29 x_{22} & + 73.54 x_{7} & +  3.36 x_{32} & +  3.20 x_{20} & +  3.33 x_{27} & -0.13 x_{17} & + 82.76 x_{12} & + 35.87 x_{4} & -2.36 x_{21} & +  1.99 x_{30} & -0.49 x_{29}\\
 x_{23}   &  2.53778014131 & -1.79 x_{28} & + 43.36 x_{13} & -4.06 x_{3} & -16.84 x_{8} & +  2.32 x_{31} & +  1.20 x_{22} & -58.68 x_{7} & -1.04 x_{32} & +  1.33 x_{20} & -0.77 x_{27} & -0.27 x_{17} & + 27.54 x_{12} & +  3.92 x_{4} & -0.64 x_{21} & -1.69 x_{30} & +  0.31 x_{29}\\
 x_{19}   &  0.575263730463 & -0.88 x_{28} & +  6.32 x_{13} & -3.68 x_{3} & +  4.44 x_{8} & -0.08 x_{31} & -0.55 x_{22} & -9.41 x_{7} & -0.22 x_{32} & -0.55 x_{20} & +  0.32 x_{27} & +  0.52 x_{17} & -15.62 x_{12} & -19.28 x_{4} & +  0.66 x_{21} & -0.37 x_{30} & +  0.84 x_{29}\\
 x_{14}   &  0.175392662615 & +  0.02 x_{28} & +  0.85 x_{13} & +  0.68 x_{3} & +  0.04 x_{8} & +  0.11 x_{31} & +  0.04 x_{22} & -1.23 x_{7} & +  0.03 x_{32} & +  0.09 x_{20} & +  0.01 x_{27} & -0.01 x_{17} & +  1.54 x_{12} & +  1.32 x_{4} & -0.02 x_{21} & -0.05 x_{30} & +  0.03 x_{29}\\
 x_{18}   &  10.8062237483 & +  1.33 x_{28} & + 15.13 x_{13} & + 44.75 x_{3} & +  8.12 x_{8} & +  1.69 x_{31} & +  0.83 x_{22} & +  7.57 x_{7} & +  0.34 x_{32} & +  1.18 x_{20} & +  0.69 x_{27} & +  0.58 x_{17} & + 21.37 x_{12} & + 23.26 x_{4} & +  0.11 x_{21} & +  0.39 x_{30} & +  0.57 x_{29}\\
 x_{11}   &  0.365439836068 & +  0.09 x_{28} & -1.37 x_{13} & -0.09 x_{3} & +  0.78 x_{8} & -0.00 x_{31} & +  0.05 x_{22} & +  1.89 x_{7} & +  0.11 x_{32} & +  0.09 x_{20} & +  0.11 x_{27} & +  0.01 x_{17} & +  1.24 x_{12} & +  1.19 x_{4} & -0.07 x_{21} & +  0.03 x_{30} & +  0.02 x_{29}\\
 x_{24}   &  7.03688058973 & +  0.78 x_{28} & -0.20 x_{13} & +  7.89 x_{3} & -4.93 x_{8} & +  0.27 x_{31} & +  1.11 x_{22} & +  0.94 x_{7} & +  0.08 x_{32} & +  0.93 x_{20} & +  0.65 x_{27} & -0.08 x_{17} & + 24.51 x_{12} & + 11.40 x_{4} & -0.15 x_{21} & -0.07 x_{30} & +  0.02 x_{29}\\
 x_{15}   &  1.02734400905 & +  0.13 x_{28} & -1.32 x_{13} & +  0.29 x_{3} & -0.51 x_{8} & +  0.11 x_{31} & +  0.20 x_{22} & +  0.66 x_{7} & +  0.12 x_{32} & +  0.19 x_{20} & +  0.13 x_{27} & -0.05 x_{17} & +  4.38 x_{12} & +  2.27 x_{4} & -0.14 x_{21} & -0.00 x_{30} & +  0.01 x_{29}\\
 x_{26}   &  3.17159335999 & +  0.75 x_{28} & -6.56 x_{13} & -34.30 x_{3} & -33.21 x_{8} & +  0.62 x_{31} & +  1.68 x_{22} & -6.51 x_{7} & +  0.47 x_{32} & +  0.86 x_{20} & -0.23 x_{27} & -1.45 x_{17} & + 42.30 x_{12} & + 33.72 x_{4} & -1.38 x_{21} & -0.60 x_{30} & -2.10 x_{29}\\
 x_{10}   &  0.264838152793 & +  0.04 x_{28} & -0.92 x_{13} & +  0.48 x_{3} & -0.43 x_{8} & -0.00 x_{31} & +  0.06 x_{22} & +  1.09 x_{7} & +  0.05 x_{32} & +  0.01 x_{20} & +  0.03 x_{27} & +  0.01 x_{17} & +  0.47 x_{12} & +  0.27 x_{4} & -0.03 x_{21} & +  0.00 x_{30} & +  0.03 x_{29}\\
 x_{1}   &  0.620430550575 & +  0.11 x_{28} & -0.84 x_{13} & -0.09 x_{3} & -0.09 x_{8} & +  0.08 x_{31} & +  0.07 x_{22} & +  0.36 x_{7} & +  0.05 x_{32} & +  0.07 x_{20} & +  0.07 x_{27} & -0.02 x_{17} & +  2.31 x_{12} & +  2.03 x_{4} & -0.06 x_{21} & -0.02 x_{30} & -0.03 x_{29}\\
 x_{16}   &  0.197751734965 & +  0.01 x_{28} & +  0.51 x_{13} & +  0.93 x_{3} & -0.02 x_{8} & +  0.00 x_{31} & -0.03 x_{22} & -0.11 x_{7} & -0.02 x_{32} & +  0.01 x_{20} & -0.01 x_{27} & +  0.03 x_{17} & -0.36 x_{12} & -0.03 x_{4} & -0.01 x_{21} & +  0.02 x_{30} & +  0.05 x_{29}\\
 x_{6}   &  0.295910180611 & -0.07 x_{28} & +  1.57 x_{13} & +  1.67 x_{3} & -0.01 x_{8} & +  0.04 x_{31} & +  0.02 x_{22} & -0.82 x_{7} & -0.02 x_{32} & +  0.01 x_{20} & -0.02 x_{27} & +  0.07 x_{17} & -0.23 x_{12} & -0.76 x_{4} & -0.00 x_{21} & +  0.02 x_{30} & +  0.06 x_{29}\\
 x_{9}   &  0.887518494598 & +  0.19 x_{28} & -2.16 x_{13} & +  1.52 x_{3} & +  0.86 x_{8} & +  0.04 x_{31} & +  0.14 x_{22} & +  2.98 x_{7} & +  0.11 x_{32} & +  0.12 x_{20} & +  0.11 x_{27} & +  0.01 x_{17} & +  3.45 x_{12} & +  1.34 x_{4} & -0.03 x_{21} & +  0.07 x_{30} & -0.04 x_{29}\\
 x_{2}   &  0.0662572656046 & +  0.04 x_{28} & -0.34 x_{13} & -1.57 x_{3} & -1.09 x_{8} & +  0.04 x_{31} & +  0.04 x_{22} & -0.72 x_{7} & +  0.04 x_{32} & +  0.05 x_{20} & -0.02 x_{27} & -0.08 x_{17} & +  1.77 x_{12} & +  1.84 x_{4} & -0.09 x_{21} & -0.02 x_{30} & -0.08 x_{29}\\
\hline
z    &  -0.466355515733 & +  0.49 x_{28} & -16.18 x_{13} & -10.28 x_{3} & -1.65 x_{8} & -0.43 x_{31} & +  0.29 x_{22} & + 14.16 x_{7} & +  0.57 x_{32} & +  0.45 x_{20} & +  0.37 x_{27} & -0.40 x_{17} & + 13.70 x_{12} & +  3.38 x_{4} & -0.43 x_{21} & +  0.29 x_{30} & -0.52 x_{29}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.530696700458 & +  0.14 x_{28} & -1.70 x_{13} & +  1.96 x_{3} & +  1.95 x_{8} & -0.02 x_{31} & -0.00 x_{22} & +  3.42 x_{7} & +  0.07 x_{32} & +  0.02 x_{20} & +  0.10 x_{27} & +  0.05 x_{17} & +  0.25 x_{12} & +  0.01 x_{19} & +  0.03 x_{21} & +  0.11 x_{30} & +  0.05 x_{29}\\
 x_{25}   &  22.8971712776 & +  2.67 x_{28} & -34.81 x_{13} & + 15.18 x_{3} & + 29.23 x_{8} & +  0.81 x_{31} & +  2.27 x_{22} & + 56.04 x_{7} & +  2.95 x_{32} & +  2.19 x_{20} & +  3.93 x_{27} & +  0.84 x_{17} & + 53.70 x_{12} & -1.86 x_{19} & -1.14 x_{21} & +  1.31 x_{30} & +  1.08 x_{29}\\
 x_{23}   &  2.65478097418 & -1.97 x_{28} & + 44.65 x_{13} & -4.81 x_{3} & -15.94 x_{8} & +  2.31 x_{31} & +  1.09 x_{22} & -60.60 x_{7} & -1.09 x_{32} & +  1.22 x_{20} & -0.70 x_{27} & -0.16 x_{17} & + 24.36 x_{12} & -0.20 x_{19} & -0.51 x_{21} & -1.77 x_{30} & +  0.48 x_{29}\\
 x_{4}   &  0.0298353739063 & -0.05 x_{28} & +  0.33 x_{13} & -0.19 x_{3} & +  0.23 x_{8} & -0.00 x_{31} & -0.03 x_{22} & -0.49 x_{7} & -0.01 x_{32} & -0.03 x_{20} & +  0.02 x_{27} & +  0.03 x_{17} & -0.81 x_{12} & -0.05 x_{19} & +  0.03 x_{21} & -0.02 x_{30} & +  0.04 x_{29}\\
 x_{14}   &  0.214709374132 & -0.04 x_{28} & +  1.28 x_{13} & +  0.43 x_{3} & +  0.35 x_{8} & +  0.10 x_{31} & +  0.00 x_{22} & -1.87 x_{7} & +  0.01 x_{32} & +  0.05 x_{20} & +  0.03 x_{27} & +  0.03 x_{17} & +  0.47 x_{12} & -0.07 x_{19} & +  0.02 x_{21} & -0.08 x_{30} & +  0.09 x_{29}\\
 x_{18}   &  11.5000693622 & +  0.27 x_{28} & + 22.75 x_{13} & + 40.32 x_{3} & + 13.48 x_{8} & +  1.60 x_{31} & +  0.17 x_{22} & -3.78 x_{7} & +  0.07 x_{32} & +  0.52 x_{20} & +  1.08 x_{27} & +  1.21 x_{17} & +  2.53 x_{12} & -1.21 x_{19} & +  0.90 x_{21} & -0.05 x_{30} & +  1.58 x_{29}\\
 x_{11}   &  0.401081673955 & +  0.04 x_{28} & -0.98 x_{13} & -0.32 x_{3} & +  1.06 x_{8} & -0.01 x_{31} & +  0.02 x_{22} & +  1.31 x_{7} & +  0.10 x_{32} & +  0.05 x_{20} & +  0.13 x_{27} & +  0.04 x_{17} & +  0.28 x_{12} & -0.06 x_{19} & -0.03 x_{21} & +  0.01 x_{30} & +  0.07 x_{29}\\
 x_{24}   &  7.37696241443 & +  0.27 x_{28} & +  3.53 x_{13} & +  5.72 x_{3} & -2.31 x_{8} & +  0.22 x_{31} & +  0.79 x_{22} & -4.62 x_{7} & -0.05 x_{32} & +  0.61 x_{20} & +  0.84 x_{27} & +  0.23 x_{17} & + 15.28 x_{12} & -0.59 x_{19} & +  0.23 x_{21} & -0.28 x_{30} & +  0.51 x_{29}\\
 x_{15}   &  1.09515519795 & +  0.03 x_{28} & -0.58 x_{13} & -0.14 x_{3} & +  0.01 x_{8} & +  0.10 x_{31} & +  0.13 x_{22} & -0.45 x_{7} & +  0.09 x_{32} & +  0.13 x_{20} & +  0.17 x_{27} & +  0.01 x_{17} & +  2.54 x_{12} & -0.12 x_{19} & -0.06 x_{21} & -0.04 x_{30} & +  0.11 x_{29}\\
 x_{26}   &  4.17768211394 & -0.79 x_{28} & +  4.49 x_{13} & -40.74 x_{3} & -25.44 x_{8} & +  0.48 x_{31} & +  0.73 x_{22} & -22.96 x_{7} & +  0.08 x_{32} & -0.10 x_{20} & +  0.34 x_{27} & -0.54 x_{17} & + 14.99 x_{12} & -1.75 x_{19} & -0.23 x_{21} & -1.24 x_{30} & -0.63 x_{29}\\
 x_{10}   &  0.272946257861 & +  0.03 x_{28} & -0.83 x_{13} & +  0.42 x_{3} & -0.37 x_{8} & -0.00 x_{31} & +  0.05 x_{22} & +  0.96 x_{7} & +  0.05 x_{32} & +  0.00 x_{20} & +  0.03 x_{27} & +  0.01 x_{17} & +  0.25 x_{12} & -0.01 x_{19} & -0.02 x_{21} & -0.00 x_{30} & +  0.04 x_{29}\\
 x_{1}   &  0.68098263248 & +  0.02 x_{28} & -0.18 x_{13} & -0.48 x_{3} & +  0.38 x_{8} & +  0.07 x_{31} & +  0.02 x_{22} & -0.63 x_{7} & +  0.02 x_{32} & +  0.01 x_{20} & +  0.10 x_{27} & +  0.04 x_{17} & +  0.67 x_{12} & -0.11 x_{19} & +  0.00 x_{21} & -0.06 x_{30} & +  0.06 x_{29}\\
 x_{16}   &  0.196950014321 & +  0.02 x_{28} & +  0.50 x_{13} & +  0.94 x_{3} & -0.03 x_{8} & +  0.00 x_{31} & -0.03 x_{22} & -0.09 x_{7} & -0.02 x_{32} & +  0.01 x_{20} & -0.01 x_{27} & +  0.03 x_{17} & -0.34 x_{12} & +  0.00 x_{19} & -0.01 x_{21} & +  0.03 x_{30} & +  0.05 x_{29}\\
 x_{6}   &  0.273368955284 & -0.03 x_{28} & +  1.32 x_{13} & +  1.82 x_{3} & -0.18 x_{8} & +  0.04 x_{31} & +  0.04 x_{22} & -0.45 x_{7} & -0.01 x_{32} & +  0.03 x_{20} & -0.04 x_{27} & +  0.05 x_{17} & +  0.39 x_{12} & +  0.04 x_{19} & -0.03 x_{21} & +  0.03 x_{30} & +  0.03 x_{29}\\
 x_{9}   &  0.927610769787 & +  0.13 x_{28} & -1.72 x_{13} & +  1.26 x_{3} & +  1.17 x_{8} & +  0.03 x_{31} & +  0.10 x_{22} & +  2.32 x_{7} & +  0.09 x_{32} & +  0.08 x_{20} & +  0.13 x_{27} & +  0.05 x_{17} & +  2.37 x_{12} & -0.07 x_{19} & +  0.01 x_{21} & +  0.04 x_{30} & +  0.02 x_{29}\\
 x_{2}   &  0.121110395914 & -0.05 x_{28} & +  0.26 x_{13} & -1.92 x_{3} & -0.67 x_{8} & +  0.04 x_{31} & -0.01 x_{22} & -1.62 x_{7} & +  0.02 x_{32} & -0.01 x_{20} & +  0.01 x_{27} & -0.03 x_{17} & +  0.28 x_{12} & -0.10 x_{19} & -0.03 x_{21} & -0.05 x_{30} & +  0.00 x_{29}\\
\hline
z    &  -0.365373993813 & +  0.34 x_{28} & -15.07 x_{13} & -10.93 x_{3} & -0.87 x_{8} & -0.44 x_{31} & +  0.19 x_{22} & + 12.51 x_{7} & +  0.53 x_{32} & +  0.35 x_{20} & +  0.42 x_{27} & -0.31 x_{17} & + 10.95 x_{12} & -0.18 x_{19} & -0.32 x_{21} & +  0.23 x_{30} & -0.37 x_{29}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{23} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.68031497168 & +  0.03 x_{28} & +  0.82 x_{13} & +  1.69 x_{3} & +  1.06 x_{8} & +  0.11 x_{31} & +  0.06 x_{22} & -0.06 x_{23} & +  0.01 x_{32} & +  0.09 x_{20} & +  0.06 x_{27} & +  0.04 x_{17} & +  1.63 x_{12} & -0.00 x_{19} & +  0.00 x_{21} & +  0.01 x_{30} & +  0.08 x_{29}\\
 x_{25}   &  25.3521936005 & +  0.85 x_{28} & +  6.48 x_{13} & + 10.73 x_{3} & + 14.49 x_{8} & +  2.94 x_{31} & +  3.28 x_{22} & -0.92 x_{23} & +  1.94 x_{32} & +  3.32 x_{20} & +  3.28 x_{27} & +  0.69 x_{17} & + 76.23 x_{12} & -2.05 x_{19} & -1.61 x_{21} & -0.32 x_{30} & +  1.52 x_{29}\\
 x_{7}   &  0.0438103303616 & -0.03 x_{28} & +  0.74 x_{13} & -0.08 x_{3} & -0.26 x_{8} & +  0.04 x_{31} & +  0.02 x_{22} & -0.02 x_{23} & -0.02 x_{32} & +  0.02 x_{20} & -0.01 x_{27} & -0.00 x_{17} & +  0.40 x_{12} & -0.00 x_{19} & -0.01 x_{21} & -0.03 x_{30} & +  0.01 x_{29}\\
 x_{4}   &  0.00845489901608 & -0.03 x_{28} & -0.03 x_{13} & -0.15 x_{3} & +  0.36 x_{8} & -0.02 x_{31} & -0.04 x_{22} & +  0.01 x_{23} & -0.00 x_{32} & -0.04 x_{20} & +  0.02 x_{27} & +  0.03 x_{17} & -1.01 x_{12} & -0.05 x_{19} & +  0.04 x_{21} & -0.00 x_{30} & +  0.04 x_{29}\\
 x_{14}   &  0.132624508399 & +  0.02 x_{28} & -0.10 x_{13} & +  0.58 x_{3} & +  0.84 x_{8} & +  0.03 x_{31} & -0.03 x_{22} & +  0.03 x_{23} & +  0.04 x_{32} & +  0.01 x_{20} & +  0.05 x_{27} & +  0.03 x_{17} & -0.28 x_{12} & -0.06 x_{19} & +  0.04 x_{21} & -0.02 x_{30} & +  0.07 x_{29}\\
 x_{18}   &  11.3346254463 & +  0.39 x_{28} & + 19.97 x_{13} & + 40.62 x_{3} & + 14.47 x_{8} & +  1.45 x_{31} & +  0.10 x_{22} & +  0.06 x_{23} & +  0.14 x_{32} & +  0.44 x_{20} & +  1.13 x_{27} & +  1.22 x_{17} & +  1.01 x_{12} & -1.19 x_{19} & +  0.93 x_{21} & +  0.06 x_{30} & +  1.55 x_{29}\\
 x_{11}   &  0.458380876716 & -0.00 x_{28} & -0.02 x_{13} & -0.42 x_{3} & +  0.71 x_{8} & +  0.04 x_{31} & +  0.04 x_{22} & -0.02 x_{23} & +  0.08 x_{32} & +  0.08 x_{20} & +  0.11 x_{27} & +  0.04 x_{17} & +  0.80 x_{12} & -0.07 x_{19} & -0.04 x_{21} & -0.03 x_{30} & +  0.08 x_{29}\\
 x_{24}   &  7.17435680381 & +  0.42 x_{28} & +  0.12 x_{13} & +  6.09 x_{3} & -1.09 x_{8} & +  0.05 x_{31} & +  0.71 x_{22} & +  0.08 x_{23} & +  0.03 x_{32} & +  0.51 x_{20} & +  0.90 x_{27} & +  0.24 x_{17} & + 13.42 x_{12} & -0.58 x_{19} & +  0.27 x_{21} & -0.15 x_{30} & +  0.48 x_{29}\\
 x_{15}   &  1.07549391446 & +  0.04 x_{28} & -0.91 x_{13} & -0.11 x_{3} & +  0.13 x_{8} & +  0.09 x_{31} & +  0.12 x_{22} & +  0.01 x_{23} & +  0.10 x_{32} & +  0.12 x_{20} & +  0.17 x_{27} & +  0.01 x_{17} & +  2.36 x_{12} & -0.12 x_{19} & -0.05 x_{21} & -0.03 x_{30} & +  0.10 x_{29}\\
 x_{26}   &  3.17166824423 & -0.04 x_{28} & -12.43 x_{13} & -38.91 x_{3} & -19.40 x_{8} & -0.40 x_{31} & +  0.31 x_{22} & +  0.38 x_{23} & +  0.50 x_{32} & -0.56 x_{20} & +  0.60 x_{27} & -0.48 x_{17} & +  5.76 x_{12} & -1.67 x_{19} & -0.04 x_{21} & -0.57 x_{30} & -0.81 x_{29}\\
 x_{10}   &  0.314881741204 & -0.01 x_{28} & -0.12 x_{13} & +  0.35 x_{3} & -0.62 x_{8} & +  0.03 x_{31} & +  0.07 x_{22} & -0.02 x_{23} & +  0.03 x_{32} & +  0.02 x_{20} & +  0.02 x_{27} & +  0.01 x_{17} & +  0.64 x_{12} & -0.02 x_{19} & -0.03 x_{21} & -0.03 x_{30} & +  0.05 x_{29}\\
 x_{1}   &  0.653344168083 & +  0.04 x_{28} & -0.64 x_{13} & -0.43 x_{3} & +  0.55 x_{8} & +  0.05 x_{31} & +  0.00 x_{22} & +  0.01 x_{23} & +  0.03 x_{32} & -0.00 x_{20} & +  0.11 x_{27} & +  0.04 x_{17} & +  0.41 x_{12} & -0.10 x_{19} & +  0.01 x_{21} & -0.04 x_{30} & +  0.06 x_{29}\\
 x_{16}   &  0.192822217156 & +  0.02 x_{28} & +  0.43 x_{13} & +  0.95 x_{3} & -0.00 x_{8} & +  0.00 x_{31} & -0.03 x_{22} & +  0.00 x_{23} & -0.02 x_{32} & +  0.01 x_{20} & -0.01 x_{27} & +  0.03 x_{17} & -0.38 x_{12} & +  0.00 x_{19} & -0.01 x_{21} & +  0.03 x_{30} & +  0.05 x_{29}\\
 x_{6}   &  0.253440480233 & -0.02 x_{28} & +  0.99 x_{13} & +  1.85 x_{3} & -0.06 x_{8} & +  0.03 x_{31} & +  0.03 x_{22} & +  0.01 x_{23} & -0.00 x_{32} & +  0.02 x_{20} & -0.03 x_{27} & +  0.05 x_{17} & +  0.20 x_{12} & +  0.04 x_{19} & -0.02 x_{21} & +  0.04 x_{30} & +  0.02 x_{29}\\
 x_{9}   &  1.02928019386 & +  0.06 x_{28} & -0.01 x_{13} & +  1.08 x_{3} & +  0.56 x_{8} & +  0.12 x_{31} & +  0.14 x_{22} & -0.04 x_{23} & +  0.05 x_{32} & +  0.13 x_{20} & +  0.11 x_{27} & +  0.04 x_{17} & +  3.30 x_{12} & -0.08 x_{19} & -0.01 x_{21} & -0.02 x_{30} & +  0.04 x_{29}\\
 x_{2}   &  0.0500395657945 & +  0.00 x_{28} & -0.93 x_{13} & -1.79 x_{3} & -0.24 x_{8} & -0.03 x_{31} & -0.04 x_{22} & +  0.03 x_{23} & +  0.05 x_{32} & -0.04 x_{20} & +  0.03 x_{27} & -0.02 x_{17} & -0.37 x_{12} & -0.09 x_{19} & -0.01 x_{21} & -0.01 x_{30} & -0.01 x_{29}\\
\hline
z    &  0.182510013936 & -0.07 x_{28} & -5.86 x_{13} & -11.92 x_{3} & -4.16 x_{8} & +  0.03 x_{31} & +  0.41 x_{22} & -0.21 x_{23} & +  0.31 x_{32} & +  0.60 x_{20} & +  0.28 x_{27} & -0.34 x_{17} & + 15.98 x_{12} & -0.22 x_{19} & -0.42 x_{21} & -0.14 x_{30} & -0.27 x_{29}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.693995023649 & -0.02 x_{28} & +  0.77 x_{13} & +  1.44 x_{3} & +  1.64 x_{8} & +  0.07 x_{31} & -0.00 x_{22} & -0.04 x_{23} & +  0.01 x_{32} & +  0.03 x_{20} & +  0.10 x_{27} & +  0.09 x_{17} & -1.62 x_{4} & -0.09 x_{19} & +  0.06 x_{21} & +  0.00 x_{30} & +  0.14 x_{29}\\
 x_{25}   &  25.9927971938 & -1.40 x_{28} & +  4.06 x_{13} & -0.79 x_{3} & + 41.67 x_{8} & +  1.23 x_{31} & +  0.47 x_{22} & -0.31 x_{23} & +  1.75 x_{32} & +  0.43 x_{20} & +  4.98 x_{27} & +  2.83 x_{17} & -75.77 x_{4} & -5.85 x_{19} & +  1.29 x_{21} & -0.69 x_{30} & +  4.53 x_{29}\\
 x_{7}   &  0.0471890575997 & -0.04 x_{28} & +  0.72 x_{13} & -0.14 x_{3} & -0.12 x_{8} & +  0.03 x_{31} & +  0.00 x_{22} & -0.01 x_{23} & -0.02 x_{32} & +  0.00 x_{20} & -0.00 x_{27} & +  0.01 x_{17} & -0.40 x_{4} & -0.02 x_{19} & +  0.01 x_{21} & -0.03 x_{30} & +  0.02 x_{29}\\
 x_{12}   &  0.00840313406478 & -0.03 x_{28} & -0.03 x_{13} & -0.15 x_{3} & +  0.36 x_{8} & -0.02 x_{31} & -0.04 x_{22} & +  0.01 x_{23} & -0.00 x_{32} & -0.04 x_{20} & +  0.02 x_{27} & +  0.03 x_{17} & -0.99 x_{4} & -0.05 x_{19} & +  0.04 x_{21} & -0.00 x_{30} & +  0.04 x_{29}\\
 x_{14}   &  0.130262039642 & +  0.03 x_{28} & -0.09 x_{13} & +  0.62 x_{3} & +  0.74 x_{8} & +  0.04 x_{31} & -0.02 x_{22} & +  0.03 x_{23} & +  0.05 x_{32} & +  0.02 x_{20} & +  0.05 x_{27} & +  0.02 x_{17} & +  0.28 x_{4} & -0.05 x_{19} & +  0.03 x_{21} & -0.02 x_{30} & +  0.06 x_{29}\\
 x_{18}   &  11.3431431301 & +  0.36 x_{28} & + 19.94 x_{13} & + 40.46 x_{3} & + 14.83 x_{8} & +  1.43 x_{31} & +  0.07 x_{22} & +  0.07 x_{23} & +  0.14 x_{32} & +  0.40 x_{20} & +  1.15 x_{27} & +  1.25 x_{17} & -1.01 x_{4} & -1.24 x_{19} & +  0.97 x_{21} & +  0.06 x_{30} & +  1.59 x_{29}\\
 x_{11}   &  0.465127705836 & -0.03 x_{28} & -0.04 x_{13} & -0.54 x_{3} & +  1.00 x_{8} & +  0.03 x_{31} & +  0.01 x_{22} & -0.02 x_{23} & +  0.08 x_{32} & +  0.05 x_{20} & +  0.13 x_{27} & +  0.06 x_{17} & -0.80 x_{4} & -0.11 x_{19} & -0.01 x_{21} & -0.03 x_{30} & +  0.12 x_{29}\\
 x_{24}   &  7.28709255936 & +  0.02 x_{28} & -0.30 x_{13} & +  4.06 x_{3} & +  3.69 x_{8} & -0.25 x_{31} & +  0.21 x_{22} & +  0.18 x_{23} & -0.00 x_{32} & +  0.00 x_{20} & +  1.19 x_{27} & +  0.62 x_{17} & -13.33 x_{4} & -1.25 x_{19} & +  0.78 x_{21} & -0.21 x_{30} & +  1.01 x_{29}\\
 x_{15}   &  1.09534003209 & -0.03 x_{28} & -0.98 x_{13} & -0.46 x_{3} & +  0.97 x_{8} & +  0.03 x_{31} & +  0.04 x_{22} & +  0.03 x_{23} & +  0.09 x_{32} & +  0.03 x_{20} & +  0.23 x_{27} & +  0.08 x_{17} & -2.35 x_{4} & -0.23 x_{19} & +  0.03 x_{21} & -0.04 x_{30} & +  0.20 x_{29}\\
 x_{26}   &  3.22004894063 & -0.21 x_{28} & -12.61 x_{13} & -39.78 x_{3} & -17.35 x_{8} & -0.52 x_{31} & +  0.10 x_{22} & +  0.43 x_{23} & +  0.48 x_{32} & -0.78 x_{20} & +  0.73 x_{27} & -0.31 x_{17} & -5.72 x_{4} & -1.96 x_{19} & +  0.18 x_{21} & -0.60 x_{30} & -0.59 x_{29}\\
 x_{10}   &  0.320245752132 & -0.02 x_{28} & -0.14 x_{13} & +  0.25 x_{3} & -0.40 x_{8} & +  0.02 x_{31} & +  0.04 x_{22} & -0.01 x_{23} & +  0.03 x_{32} & -0.00 x_{20} & +  0.03 x_{27} & +  0.03 x_{17} & -0.63 x_{4} & -0.05 x_{19} & -0.00 x_{21} & -0.03 x_{30} & +  0.08 x_{29}\\
 x_{1}   &  0.656827796559 & +  0.03 x_{28} & -0.65 x_{13} & -0.49 x_{3} & +  0.69 x_{8} & +  0.04 x_{31} & -0.01 x_{22} & +  0.01 x_{23} & +  0.03 x_{32} & -0.02 x_{20} & +  0.12 x_{27} & +  0.05 x_{17} & -0.41 x_{4} & -0.12 x_{19} & +  0.03 x_{21} & -0.04 x_{30} & +  0.07 x_{29}\\
 x_{16}   &  0.18963748981 & +  0.03 x_{28} & +  0.44 x_{13} & +  1.00 x_{3} & -0.14 x_{8} & +  0.01 x_{31} & -0.01 x_{22} & -0.00 x_{23} & -0.02 x_{32} & +  0.02 x_{20} & -0.02 x_{27} & +  0.02 x_{17} & +  0.38 x_{4} & +  0.02 x_{19} & -0.03 x_{21} & +  0.03 x_{30} & +  0.04 x_{29}\\
 x_{6}   &  0.255143243389 & -0.02 x_{28} & +  0.98 x_{13} & +  1.82 x_{3} & +  0.01 x_{8} & +  0.02 x_{31} & +  0.03 x_{22} & +  0.01 x_{23} & -0.00 x_{32} & +  0.01 x_{20} & -0.03 x_{27} & +  0.05 x_{17} & -0.20 x_{4} & +  0.03 x_{19} & -0.02 x_{21} & +  0.04 x_{30} & +  0.03 x_{29}\\
 x_{9}   &  1.05700698599 & -0.04 x_{28} & -0.12 x_{13} & +  0.58 x_{3} & +  1.74 x_{8} & +  0.05 x_{31} & +  0.02 x_{22} & -0.01 x_{23} & +  0.04 x_{32} & +  0.00 x_{20} & +  0.18 x_{27} & +  0.14 x_{17} & -3.28 x_{4} & -0.24 x_{19} & +  0.12 x_{21} & -0.04 x_{30} & +  0.17 x_{29}\\
 x_{2}   &  0.0468928941846 & +  0.02 x_{28} & -0.92 x_{13} & -1.74 x_{3} & -0.37 x_{8} & -0.02 x_{31} & -0.02 x_{22} & +  0.02 x_{23} & +  0.05 x_{32} & -0.02 x_{20} & +  0.02 x_{27} & -0.03 x_{17} & +  0.37 x_{4} & -0.07 x_{19} & -0.03 x_{21} & -0.00 x_{30} & -0.02 x_{29}\\
\hline
z    &  0.316816399135 & -0.54 x_{28} & -6.36 x_{13} & -14.34 x_{3} & +  1.54 x_{8} & -0.33 x_{31} & -0.18 x_{22} & -0.08 x_{23} & +  0.27 x_{32} & -0.00 x_{20} & +  0.64 x_{27} & +  0.11 x_{17} & -15.89 x_{4} & -1.02 x_{19} & +  0.19 x_{21} & -0.21 x_{30} & +  0.36 x_{29}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.898923183732 & +  0.05 x_{28} & -3.26 x_{13} & -6.15 x_{3} & -4.37 x_{2} & +  0.00 x_{31} & -0.10 x_{22} & +  0.06 x_{23} & +  0.22 x_{32} & -0.08 x_{20} & +  0.19 x_{27} & -0.05 x_{17} & +  0.01 x_{4} & -0.40 x_{19} & -0.05 x_{21} & -0.01 x_{30} & +  0.04 x_{29}\\
 x_{25}   &  31.2134784808 & +  0.35 x_{28} & -98.40 x_{13} & -194.15 x_{3} & -111.33 x_{2} & -0.63 x_{31} & -2.06 x_{22} & +  2.33 x_{23} & +  7.34 x_{32} & -2.24 x_{20} & +  7.35 x_{27} & -0.76 x_{17} & -34.33 x_{4} & -13.78 x_{19} & -1.67 x_{21} & -1.12 x_{30} & +  1.94 x_{29}\\
 x_{7}   &  0.0321954309425 & -0.05 x_{28} & +  1.02 x_{13} & +  0.42 x_{3} & +  0.32 x_{2} & +  0.03 x_{31} & +  0.01 x_{22} & -0.02 x_{23} & -0.04 x_{32} & +  0.01 x_{20} & -0.01 x_{27} & +  0.02 x_{17} & -0.52 x_{4} & -0.00 x_{19} & +  0.02 x_{21} & -0.03 x_{30} & +  0.03 x_{29}\\
 x_{12}   &  0.0530646137225 & -0.01 x_{28} & -0.91 x_{13} & -1.81 x_{3} & -0.95 x_{2} & -0.04 x_{31} & -0.06 x_{22} & +  0.03 x_{23} & +  0.05 x_{32} & -0.06 x_{20} & +  0.04 x_{27} & -0.00 x_{17} & -0.64 x_{4} & -0.12 x_{19} & +  0.01 x_{21} & -0.01 x_{30} & +  0.02 x_{29}\\
 x_{14}   &  0.223047240838 & +  0.06 x_{28} & -1.91 x_{13} & -2.81 x_{3} & -1.98 x_{2} & +  0.01 x_{31} & -0.06 x_{22} & +  0.08 x_{23} & +  0.14 x_{32} & -0.02 x_{20} & +  0.09 x_{27} & -0.04 x_{17} & +  1.02 x_{4} & -0.19 x_{19} & -0.02 x_{21} & -0.03 x_{30} & +  0.02 x_{29}\\
 x_{18}   &  13.2017740561 & +  0.98 x_{28} & -16.54 x_{13} & -28.38 x_{3} & -39.64 x_{2} & +  0.77 x_{31} & -0.84 x_{22} & +  1.01 x_{23} & +  2.13 x_{32} & -0.54 x_{20} & +  1.99 x_{27} & -0.03 x_{17} & + 13.74 x_{4} & -4.07 x_{19} & -0.08 x_{21} & -0.10 x_{30} & +  0.67 x_{29}\\
 x_{11}   &  0.590387939919 & +  0.01 x_{28} & -2.50 x_{13} & -5.18 x_{3} & -2.67 x_{2} & -0.02 x_{31} & -0.05 x_{22} & +  0.05 x_{23} & +  0.21 x_{32} & -0.01 x_{20} & +  0.19 x_{27} & -0.03 x_{17} & +  0.20 x_{4} & -0.30 x_{19} & -0.08 x_{21} & -0.04 x_{30} & +  0.05 x_{29}\\
 x_{24}   &  7.74927766712 & +  0.17 x_{28} & -9.37 x_{13} & -13.06 x_{3} & -9.86 x_{2} & -0.42 x_{31} & -0.01 x_{22} & +  0.42 x_{23} & +  0.49 x_{32} & -0.23 x_{20} & +  1.40 x_{27} & +  0.30 x_{17} & -9.67 x_{4} & -1.95 x_{19} & +  0.52 x_{21} & -0.25 x_{30} & +  0.78 x_{29}\\
 x_{15}   &  1.21739010652 & +  0.02 x_{28} & -3.38 x_{13} & -4.99 x_{3} & -2.60 x_{2} & -0.01 x_{31} & -0.02 x_{22} & +  0.09 x_{23} & +  0.22 x_{32} & -0.03 x_{20} & +  0.28 x_{27} & -0.01 x_{17} & -1.38 x_{4} & -0.42 x_{19} & -0.03 x_{21} & -0.05 x_{30} & +  0.14 x_{29}\\
 x_{26}   &  1.04602383955 & -0.94 x_{28} & + 30.06 x_{13} & + 40.73 x_{3} & + 46.36 x_{2} & +  0.25 x_{31} & +  1.16 x_{22} & -0.68 x_{23} & -1.85 x_{32} & +  0.33 x_{20} & -0.25 x_{27} & +  1.18 x_{17} & -22.98 x_{4} & +  1.34 x_{19} & +  1.41 x_{21} & -0.42 x_{30} & +  0.49 x_{29}\\
 x_{10}   &  0.270657137932 & -0.04 x_{28} & +  0.83 x_{13} & +  2.09 x_{3} & +  1.06 x_{2} & +  0.04 x_{31} & +  0.07 x_{22} & -0.04 x_{23} & -0.03 x_{32} & +  0.02 x_{20} & +  0.01 x_{27} & +  0.06 x_{17} & -1.03 x_{4} & +  0.03 x_{19} & +  0.02 x_{21} & -0.03 x_{30} & +  0.10 x_{29}\\
 x_{1}   &  0.743626236481 & +  0.06 x_{28} & -2.36 x_{13} & -3.71 x_{3} & -1.85 x_{2} & +  0.01 x_{31} & -0.05 x_{22} & +  0.06 x_{23} & +  0.13 x_{32} & -0.06 x_{20} & +  0.16 x_{27} & -0.01 x_{17} & +  0.28 x_{4} & -0.26 x_{19} & -0.02 x_{21} & -0.05 x_{30} & +  0.03 x_{29}\\
 x_{16}   &  0.172209994276 & +  0.02 x_{28} & +  0.78 x_{13} & +  1.65 x_{3} & +  0.37 x_{2} & +  0.02 x_{31} & -0.00 x_{22} & -0.01 x_{23} & -0.04 x_{32} & +  0.03 x_{20} & -0.03 x_{27} & +  0.03 x_{17} & +  0.24 x_{4} & +  0.05 x_{19} & -0.02 x_{21} & +  0.03 x_{30} & +  0.04 x_{29}\\
 x_{6}   &  0.256549720413 & -0.02 x_{28} & +  0.95 x_{13} & +  1.77 x_{3} & -0.03 x_{2} & +  0.02 x_{31} & +  0.03 x_{22} & +  0.01 x_{23} & -0.00 x_{32} & +  0.01 x_{20} & -0.03 x_{27} & +  0.05 x_{17} & -0.19 x_{4} & +  0.03 x_{19} & -0.02 x_{21} & +  0.04 x_{30} & +  0.03 x_{29}\\
 x_{9}   &  1.27438738488 & +  0.03 x_{28} & -4.38 x_{13} & -7.47 x_{3} & -4.64 x_{2} & -0.03 x_{31} & -0.08 x_{22} & +  0.10 x_{23} & +  0.27 x_{32} & -0.11 x_{20} & +  0.28 x_{27} & -0.01 x_{17} & -1.55 x_{4} & -0.57 x_{19} & -0.00 x_{21} & -0.06 x_{30} & +  0.06 x_{29}\\
 x_{8}   &  0.125290599872 & +  0.04 x_{28} & -2.46 x_{13} & -4.64 x_{3} & -2.67 x_{2} & -0.04 x_{31} & -0.06 x_{22} & +  0.06 x_{23} & +  0.13 x_{32} & -0.06 x_{20} & +  0.06 x_{27} & -0.09 x_{17} & +  0.99 x_{4} & -0.19 x_{19} & -0.07 x_{21} & -0.01 x_{30} & -0.06 x_{29}\\
\hline
z    &  0.509290269293 & -0.48 x_{28} & -10.14 x_{13} & -21.46 x_{3} & -4.10 x_{2} & -0.39 x_{31} & -0.27 x_{22} & +  0.02 x_{23} & +  0.47 x_{32} & -0.10 x_{20} & +  0.72 x_{27} & -0.02 x_{17} & -14.36 x_{4} & -1.31 x_{19} & +  0.08 x_{21} & -0.23 x_{30} & +  0.27 x_{29}\\
\end{array}\]


 $ x_{21} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.806420114201 & +  0.02 x_{28} & -1.44 x_{13} & -2.72 x_{3} & -2.40 x_{2} & +  0.03 x_{31} & -0.06 x_{22} & +  0.01 x_{23} & +  0.13 x_{32} & -0.03 x_{20} & +  0.15 x_{27} & +  0.01 x_{17} & -0.73 x_{4} & -0.26 x_{19} & +  0.74 x_{8} & -0.00 x_{30} & +  0.09 x_{29}\\
 x_{25}   &  28.2687941556 & -0.64 x_{28} & -40.60 x_{13} & -85.09 x_{3} & -48.54 x_{2} & +  0.42 x_{31} & -0.64 x_{22} & +  0.84 x_{23} & +  4.19 x_{32} & -0.74 x_{20} & +  6.01 x_{27} & +  1.27 x_{17} & -57.70 x_{4} & -9.31 x_{19} & + 23.50 x_{8} & -0.87 x_{30} & +  3.40 x_{29}\\
 x_{7}   &  0.0593234705335 & -0.04 x_{28} & +  0.49 x_{13} & -0.59 x_{3} & -0.26 x_{2} & +  0.02 x_{31} & -0.00 x_{22} & -0.01 x_{23} & -0.01 x_{32} & -0.00 x_{20} & +  0.00 x_{27} & +  0.00 x_{17} & -0.30 x_{4} & -0.04 x_{19} & -0.22 x_{8} & -0.03 x_{30} & +  0.02 x_{29}\\
 x_{12}   &  0.0755166762009 & -0.01 x_{28} & -1.35 x_{13} & -2.64 x_{3} & -1.43 x_{2} & -0.05 x_{31} & -0.07 x_{22} & +  0.04 x_{23} & +  0.07 x_{32} & -0.07 x_{20} & +  0.05 x_{27} & -0.02 x_{17} & -0.46 x_{4} & -0.15 x_{19} & -0.18 x_{8} & -0.01 x_{30} & +  0.01 x_{29}\\
 x_{14}   &  0.181414983456 & +  0.05 x_{28} & -1.09 x_{13} & -1.27 x_{3} & -1.09 x_{2} & +  0.02 x_{31} & -0.04 x_{22} & +  0.05 x_{23} & +  0.10 x_{32} & -0.00 x_{20} & +  0.07 x_{27} & -0.01 x_{17} & +  0.69 x_{4} & -0.13 x_{19} & +  0.33 x_{8} & -0.03 x_{30} & +  0.04 x_{29}\\
 x_{18}   &  13.0622050572 & +  0.93 x_{28} & -13.80 x_{13} & -23.21 x_{3} & -36.66 x_{2} & +  0.82 x_{31} & -0.77 x_{22} & +  0.94 x_{23} & +  1.98 x_{32} & -0.47 x_{20} & +  1.93 x_{27} & +  0.07 x_{17} & + 12.64 x_{4} & -3.85 x_{19} & +  1.11 x_{8} & -0.09 x_{30} & +  0.74 x_{29}\\
 x_{11}   &  0.454525419747 & -0.03 x_{28} & +  0.16 x_{13} & -0.15 x_{3} & +  0.23 x_{2} & +  0.03 x_{31} & +  0.02 x_{22} & -0.02 x_{23} & +  0.06 x_{32} & +  0.06 x_{20} & +  0.13 x_{27} & +  0.07 x_{17} & -0.88 x_{4} & -0.09 x_{19} & +  1.08 x_{8} & -0.03 x_{30} & +  0.12 x_{29}\\
 x_{24}   &  8.67114342146 & +  0.48 x_{28} & -27.46 x_{13} & -47.20 x_{3} & -29.52 x_{2} & -0.75 x_{31} & -0.46 x_{22} & +  0.89 x_{23} & +  1.48 x_{32} & -0.70 x_{20} & +  1.82 x_{27} & -0.33 x_{17} & -2.35 x_{4} & -3.35 x_{19} & -7.36 x_{8} & -0.33 x_{30} & +  0.32 x_{29}\\
 x_{15}   &  1.15714074855 & -0.01 x_{28} & -2.19 x_{13} & -2.75 x_{3} & -1.32 x_{2} & +  0.01 x_{31} & +  0.01 x_{22} & +  0.06 x_{23} & +  0.16 x_{32} & -0.00 x_{20} & +  0.25 x_{27} & +  0.03 x_{17} & -1.86 x_{4} & -0.33 x_{19} & +  0.48 x_{8} & -0.05 x_{30} & +  0.17 x_{29}\\
 x_{26}   &  3.54404228254 & -0.10 x_{28} & -18.97 x_{13} & -51.78 x_{3} & -6.91 x_{2} & -0.64 x_{31} & -0.05 x_{22} & +  0.59 x_{23} & +  0.83 x_{32} & -0.94 x_{20} & +  0.88 x_{27} & -0.54 x_{17} & -3.15 x_{4} & -2.45 x_{19} & -19.94 x_{8} & -0.62 x_{30} & -0.75 x_{29}\\
 x_{10}   &  0.312190653536 & -0.03 x_{28} & +  0.01 x_{13} & +  0.55 x_{3} & +  0.17 x_{2} & +  0.02 x_{31} & +  0.05 x_{22} & -0.01 x_{23} & +  0.02 x_{32} & +  0.00 x_{20} & +  0.03 x_{27} & +  0.03 x_{17} & -0.70 x_{4} & -0.04 x_{19} & -0.33 x_{8} & -0.03 x_{30} & +  0.08 x_{29}\\
 x_{1}   &  0.702715753766 & +  0.05 x_{28} & -1.56 x_{13} & -2.19 x_{3} & -0.98 x_{2} & +  0.02 x_{31} & -0.03 x_{22} & +  0.04 x_{23} & +  0.08 x_{32} & -0.04 x_{20} & +  0.14 x_{27} & +  0.02 x_{17} & -0.05 x_{4} & -0.19 x_{19} & +  0.33 x_{8} & -0.04 x_{30} & +  0.05 x_{29}\\
 x_{16}   &  0.14509895969 & +  0.01 x_{28} & +  1.32 x_{13} & +  2.65 x_{3} & +  0.95 x_{2} & +  0.03 x_{31} & +  0.01 x_{22} & -0.02 x_{23} & -0.07 x_{32} & +  0.04 x_{20} & -0.04 x_{27} & +  0.05 x_{17} & +  0.02 x_{4} & +  0.09 x_{19} & +  0.22 x_{8} & +  0.03 x_{30} & +  0.06 x_{29}\\
 x_{6}   &  0.226864521172 & -0.03 x_{28} & +  1.54 x_{13} & +  2.87 x_{3} & +  0.60 x_{2} & +  0.03 x_{31} & +  0.04 x_{22} & -0.01 x_{23} & -0.03 x_{32} & +  0.03 x_{20} & -0.04 x_{27} & +  0.07 x_{17} & -0.43 x_{4} & +  0.07 x_{19} & +  0.24 x_{8} & +  0.05 x_{30} & +  0.04 x_{29}\\
 x_{9}   &  1.26760206614 & +  0.03 x_{28} & -4.25 x_{13} & -7.22 x_{3} & -4.49 x_{2} & -0.03 x_{31} & -0.08 x_{22} & +  0.09 x_{23} & +  0.27 x_{32} & -0.11 x_{20} & +  0.28 x_{27} & -0.01 x_{17} & -1.61 x_{4} & -0.56 x_{19} & +  0.05 x_{8} & -0.06 x_{30} & +  0.06 x_{29}\\
 x_{21}   &  1.76754372022 & +  0.59 x_{28} & -34.69 x_{13} & -65.46 x_{3} & -37.69 x_{2} & -0.63 x_{31} & -0.86 x_{22} & +  0.90 x_{23} & +  1.89 x_{32} & -0.90 x_{20} & +  0.80 x_{27} & -1.22 x_{17} & + 14.03 x_{4} & -2.68 x_{19} & -14.11 x_{8} & -0.15 x_{30} & -0.88 x_{29}\\
\hline
z    &  0.645397326276 & -0.43 x_{28} & -12.81 x_{13} & -26.50 x_{3} & -7.01 x_{2} & -0.44 x_{31} & -0.33 x_{22} & +  0.09 x_{23} & +  0.62 x_{32} & -0.17 x_{20} & +  0.78 x_{27} & -0.12 x_{17} & -13.28 x_{4} & -1.51 x_{19} & -1.09 x_{8} & -0.24 x_{30} & +  0.20 x_{29}\\
\end{array}\]


 $ x_{23} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.88886140623 & +  0.03 x_{28} & -0.69 x_{13} & -1.21 x_{3} & -1.86 x_{2} & +  0.05 x_{31} & -0.05 x_{22} & -0.57 x_{16} & +  0.09 x_{32} & -0.01 x_{20} & +  0.12 x_{27} & +  0.03 x_{17} & -0.71 x_{4} & -0.21 x_{19} & +  0.86 x_{8} & +  0.01 x_{30} & +  0.12 x_{29}\\
 x_{25}   &  33.3307542288 & -0.12 x_{28} & +  5.27 x_{13} & +  7.49 x_{3} & -15.40 x_{2} & +  1.30 x_{31} & -0.34 x_{22} & -34.89 x_{16} & +  1.87 x_{32} & +  0.80 x_{20} & +  4.59 x_{27} & +  2.87 x_{17} & -56.89 x_{4} & -6.23 x_{19} & + 31.05 x_{8} & +  0.28 x_{30} & +  5.43 x_{29}\\
 x_{7}   &  0.0163087201514 & -0.04 x_{28} & +  0.10 x_{13} & -1.38 x_{3} & -0.54 x_{2} & +  0.02 x_{31} & -0.01 x_{22} & +  0.30 x_{16} & +  0.01 x_{32} & -0.01 x_{20} & +  0.02 x_{27} & -0.01 x_{17} & -0.31 x_{4} & -0.07 x_{19} & -0.28 x_{8} & -0.04 x_{30} & +  0.00 x_{29}\\
 x_{12}   &  0.328996856189 & +  0.02 x_{28} & +  0.95 x_{13} & +  2.00 x_{3} & +  0.23 x_{2} & -0.00 x_{31} & -0.05 x_{22} & -1.75 x_{16} & -0.05 x_{32} & +  0.00 x_{20} & -0.02 x_{27} & +  0.06 x_{17} & -0.42 x_{4} & +  0.00 x_{19} & +  0.20 x_{8} & +  0.05 x_{30} & +  0.11 x_{29}\\
 x_{14}   &  0.510725921717 & +  0.08 x_{28} & +  1.89 x_{13} & +  4.75 x_{3} & +  1.06 x_{2} & +  0.08 x_{31} & -0.02 x_{22} & -2.27 x_{16} & -0.05 x_{32} & +  0.10 x_{20} & -0.02 x_{27} & +  0.09 x_{17} & +  0.74 x_{4} & +  0.07 x_{19} & +  0.82 x_{8} & +  0.05 x_{30} & +  0.17 x_{29}\\
 x_{18}   &  18.7431838501 & +  1.51 x_{28} & + 37.68 x_{13} & + 80.69 x_{3} & +  0.53 x_{2} & +  1.81 x_{31} & -0.44 x_{22} & -39.15 x_{16} & -0.62 x_{32} & +  1.25 x_{20} & +  0.33 x_{27} & +  1.86 x_{17} & + 13.54 x_{4} & -0.40 x_{19} & +  9.59 x_{8} & +  1.21 x_{30} & +  3.01 x_{29}\\
 x_{11}   &  0.330696428771 & -0.04 x_{28} & -0.96 x_{13} & -2.41 x_{3} & -0.58 x_{2} & +  0.01 x_{31} & +  0.01 x_{22} & +  0.85 x_{16} & +  0.12 x_{32} & +  0.02 x_{20} & +  0.16 x_{27} & +  0.03 x_{17} & -0.90 x_{4} & -0.17 x_{19} & +  0.90 x_{8} & -0.06 x_{30} & +  0.07 x_{29}\\
 x_{24}   &  14.0109257169 & +  1.02 x_{28} & + 20.93 x_{13} & + 50.46 x_{3} & +  5.44 x_{2} & +  0.19 x_{31} & -0.15 x_{22} & -36.80 x_{16} & -0.97 x_{32} & +  0.92 x_{20} & +  0.32 x_{27} & +  1.36 x_{17} & -1.50 x_{4} & -0.10 x_{19} & +  0.61 x_{8} & +  0.90 x_{30} & +  2.45 x_{29}\\
 x_{15}   &  1.5047796711 & +  0.03 x_{28} & +  0.96 x_{13} & +  3.60 x_{3} & +  0.96 x_{2} & +  0.07 x_{31} & +  0.03 x_{22} & -2.40 x_{16} & +  0.00 x_{32} & +  0.10 x_{20} & +  0.16 x_{27} & +  0.14 x_{17} & -1.80 x_{4} & -0.12 x_{19} & +  1.00 x_{8} & +  0.03 x_{30} & +  0.30 x_{29}\\
 x_{26}   &  7.09804906269 & +  0.26 x_{28} & + 13.24 x_{13} & + 13.22 x_{3} & + 16.35 x_{2} & -0.02 x_{31} & +  0.15 x_{22} & -24.49 x_{16} & -0.80 x_{32} & +  0.13 x_{20} & -0.12 x_{27} & +  0.59 x_{17} & -2.58 x_{4} & -0.29 x_{19} & -14.64 x_{8} & +  0.19 x_{30} & +  0.67 x_{29}\\
 x_{10}   &  0.223108759765 & -0.04 x_{28} & -0.79 x_{13} & -1.08 x_{3} & -0.41 x_{2} & +  0.01 x_{31} & +  0.04 x_{22} & +  0.61 x_{16} & +  0.06 x_{32} & -0.02 x_{20} & +  0.05 x_{27} & +  0.01 x_{17} & -0.71 x_{4} & -0.09 x_{19} & -0.46 x_{8} & -0.05 x_{30} & +  0.05 x_{29}\\
 x_{1}   &  0.925823407666 & +  0.07 x_{28} & +  0.47 x_{13} & +  1.89 x_{3} & +  0.48 x_{2} & +  0.06 x_{31} & -0.02 x_{22} & -1.54 x_{16} & -0.02 x_{32} & +  0.03 x_{20} & +  0.08 x_{27} & +  0.09 x_{17} & -0.01 x_{4} & -0.06 x_{19} & +  0.66 x_{8} & +  0.01 x_{30} & +  0.14 x_{29}\\
 x_{23}   &  6.03104613171 & +  0.61 x_{28} & + 54.66 x_{13} & + 110.30 x_{3} & + 39.48 x_{2} & +  1.05 x_{31} & +  0.35 x_{22} & -41.57 x_{16} & -2.76 x_{32} & +  1.83 x_{20} & -1.70 x_{27} & +  1.91 x_{17} & +  0.96 x_{4} & +  3.67 x_{19} & +  8.99 x_{8} & +  1.38 x_{30} & +  2.41 x_{29}\\
 x_{6}   &  0.195454477319 & -0.03 x_{28} & +  1.25 x_{13} & +  2.30 x_{3} & +  0.40 x_{2} & +  0.03 x_{31} & +  0.04 x_{22} & +  0.22 x_{16} & -0.02 x_{32} & +  0.02 x_{20} & -0.03 x_{27} & +  0.06 x_{17} & -0.43 x_{4} & +  0.05 x_{19} & +  0.19 x_{8} & +  0.04 x_{30} & +  0.03 x_{29}\\
 x_{9}   &  1.83983148698 & +  0.09 x_{28} & +  0.94 x_{13} & +  3.24 x_{3} & -0.75 x_{2} & +  0.07 x_{31} & -0.05 x_{22} & -3.94 x_{16} & +  0.00 x_{32} & +  0.07 x_{20} & +  0.12 x_{27} & +  0.17 x_{17} & -1.52 x_{4} & -0.21 x_{19} & +  0.91 x_{8} & +  0.07 x_{30} & +  0.29 x_{29}\\
 x_{21}   &  7.17197790499 & +  1.14 x_{28} & + 14.29 x_{13} & + 33.38 x_{3} & -2.32 x_{2} & +  0.32 x_{31} & -0.54 x_{22} & -37.25 x_{16} & -0.58 x_{32} & +  0.74 x_{20} & -0.72 x_{27} & +  0.49 x_{17} & + 14.89 x_{4} & +  0.60 x_{19} & -6.05 x_{8} & +  1.09 x_{30} & +  1.28 x_{29}\\
\hline
z    &  1.17695939011 & -0.38 x_{28} & -8.00 x_{13} & -16.78 x_{3} & -3.53 x_{2} & -0.35 x_{31} & -0.30 x_{22} & -3.66 x_{16} & +  0.38 x_{32} & -0.01 x_{20} & +  0.63 x_{27} & +  0.05 x_{17} & -13.19 x_{4} & -1.19 x_{19} & -0.29 x_{8} & -0.12 x_{30} & +  0.41 x_{29}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{7} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.931512195577 & -0.09 x_{28} & -0.44 x_{13} & -4.81 x_{3} & -3.27 x_{2} & +  0.09 x_{31} & -0.07 x_{22} & +  0.21 x_{16} & +  0.12 x_{32} & -0.04 x_{20} & +  0.16 x_{27} & -2.62 x_{7} & -1.52 x_{4} & -0.38 x_{19} & +  0.13 x_{8} & -0.10 x_{30} & +  0.12 x_{29}\\
 x_{25}   &  36.843851943 & -9.74 x_{28} & + 25.97 x_{13} & -288.96 x_{3} & -131.80 x_{2} & +  5.01 x_{31} & -1.48 x_{22} & + 28.97 x_{16} & +  4.82 x_{32} & -2.28 x_{20} & +  7.82 x_{27} & -215.41 x_{7} & -123.71 x_{4} & -20.88 x_{19} & -29.41 x_{8} & -8.74 x_{30} & +  5.56 x_{29}\\
 x_{17}   &  1.22483415511 & -3.35 x_{28} & +  7.22 x_{13} & -103.36 x_{3} & -40.58 x_{2} & +  1.29 x_{31} & -0.40 x_{22} & + 22.26 x_{16} & +  1.03 x_{32} & -1.07 x_{20} & +  1.13 x_{27} & -75.10 x_{7} & -23.30 x_{4} & -5.11 x_{19} & -21.08 x_{8} & -3.15 x_{30} & +  0.05 x_{29}\\
 x_{12}   &  0.405086172571 & -0.19 x_{28} & +  1.40 x_{13} & -4.42 x_{3} & -2.29 x_{2} & +  0.08 x_{31} & -0.08 x_{22} & -0.36 x_{16} & +  0.02 x_{32} & -0.06 x_{20} & +  0.05 x_{27} & -4.67 x_{7} & -1.87 x_{4} & -0.32 x_{19} & -1.11 x_{8} & -0.15 x_{30} & +  0.11 x_{29}\\
 x_{14}   &  0.623659558684 & -0.23 x_{28} & +  2.56 x_{13} & -4.78 x_{3} & -2.68 x_{2} & +  0.20 x_{31} & -0.06 x_{22} & -0.22 x_{16} & +  0.04 x_{32} & -0.00 x_{20} & +  0.08 x_{27} & -6.92 x_{7} & -1.41 x_{4} & -0.40 x_{19} & -1.12 x_{8} & -0.24 x_{30} & +  0.17 x_{29}\\
 x_{18}   &  21.0232345876 & -4.73 x_{28} & + 51.12 x_{13} & -111.71 x_{3} & -75.01 x_{2} & +  4.22 x_{31} & -1.17 x_{22} & +  2.29 x_{16} & +  1.30 x_{32} & -0.75 x_{20} & +  2.43 x_{27} & -139.81 x_{7} & -29.82 x_{4} & -9.91 x_{19} & -29.65 x_{8} & -4.64 x_{30} & +  3.09 x_{29}\\
 x_{11}   &  0.363064596608 & -0.13 x_{28} & -0.77 x_{13} & -5.15 x_{3} & -1.66 x_{2} & +  0.04 x_{31} & -0.00 x_{22} & +  1.44 x_{16} & +  0.15 x_{32} & -0.01 x_{20} & +  0.19 x_{27} & -1.98 x_{7} & -1.52 x_{4} & -0.30 x_{19} & +  0.34 x_{8} & -0.14 x_{30} & +  0.07 x_{29}\\
 x_{24}   &  15.6730637215 & -3.53 x_{28} & + 30.72 x_{13} & -89.80 x_{3} & -49.63 x_{2} & +  1.94 x_{31} & -0.69 x_{22} & -6.59 x_{16} & +  0.43 x_{32} & -0.54 x_{20} & +  1.85 x_{27} & -101.92 x_{7} & -33.11 x_{4} & -7.03 x_{19} & -28.00 x_{8} & -3.37 x_{30} & +  2.52 x_{29}\\
 x_{15}   &  1.68202263046 & -0.46 x_{28} & +  2.00 x_{13} & -11.35 x_{3} & -4.91 x_{2} & +  0.26 x_{31} & -0.03 x_{22} & +  0.83 x_{16} & +  0.15 x_{32} & -0.05 x_{20} & +  0.32 x_{27} & -10.87 x_{7} & -5.17 x_{4} & -0.86 x_{19} & -2.05 x_{8} & -0.42 x_{30} & +  0.31 x_{29}\\
 x_{26}   &  7.81815390816 & -1.72 x_{28} & + 17.48 x_{13} & -47.55 x_{3} & -7.50 x_{2} & +  0.74 x_{31} & -0.08 x_{22} & -11.40 x_{16} & -0.20 x_{32} & -0.50 x_{20} & +  0.54 x_{27} & -44.15 x_{7} & -16.28 x_{4} & -3.29 x_{19} & -27.03 x_{8} & -1.66 x_{30} & +  0.70 x_{29}\\
 x_{10}   &  0.230484224921 & -0.06 x_{28} & -0.75 x_{13} & -1.70 x_{3} & -0.66 x_{2} & +  0.01 x_{31} & +  0.04 x_{22} & +  0.75 x_{16} & +  0.07 x_{32} & -0.03 x_{20} & +  0.06 x_{27} & -0.45 x_{7} & -0.85 x_{4} & -0.12 x_{19} & -0.59 x_{8} & -0.07 x_{30} & +  0.05 x_{29}\\
 x_{1}   &  1.03772919538 & -0.24 x_{28} & +  1.13 x_{13} & -7.56 x_{3} & -3.23 x_{2} & +  0.18 x_{31} & -0.06 x_{22} & +  0.50 x_{16} & +  0.07 x_{32} & -0.07 x_{20} & +  0.18 x_{27} & -6.86 x_{7} & -2.14 x_{4} & -0.52 x_{19} & -1.27 x_{8} & -0.28 x_{30} & +  0.14 x_{29}\\
 x_{23}   &  8.36695384072 & -5.79 x_{28} & + 68.42 x_{13} & -86.81 x_{3} & -37.91 x_{2} & +  3.52 x_{31} & -0.40 x_{22} & +  0.90 x_{16} & -0.80 x_{32} & -0.22 x_{20} & +  0.45 x_{27} & -143.23 x_{7} & -43.46 x_{4} & -6.07 x_{19} & -31.21 x_{8} & -4.62 x_{30} & +  2.50 x_{29}\\
 x_{6}   &  0.273377195574 & -0.25 x_{28} & +  1.71 x_{13} & -4.28 x_{3} & -2.18 x_{2} & +  0.11 x_{31} & +  0.01 x_{22} & +  1.63 x_{16} & +  0.05 x_{32} & -0.05 x_{20} & +  0.04 x_{27} & -4.78 x_{7} & -1.91 x_{4} & -0.27 x_{19} & -1.15 x_{8} & -0.16 x_{30} & +  0.03 x_{29}\\
 x_{9}   &  2.05044922353 & -0.49 x_{28} & +  2.18 x_{13} & -14.53 x_{3} & -7.72 x_{2} & +  0.29 x_{31} & -0.11 x_{22} & -0.12 x_{16} & +  0.18 x_{32} & -0.12 x_{20} & +  0.31 x_{27} & -12.91 x_{7} & -5.52 x_{4} & -1.09 x_{19} & -2.72 x_{8} & -0.47 x_{30} & +  0.30 x_{29}\\
 x_{21}   &  7.77494462196 & -0.51 x_{28} & + 17.84 x_{13} & -17.50 x_{3} & -22.29 x_{2} & +  0.95 x_{31} & -0.74 x_{22} & -26.29 x_{16} & -0.08 x_{32} & +  0.21 x_{20} & -0.16 x_{27} & -36.97 x_{7} & +  3.42 x_{4} & -1.91 x_{19} & -16.42 x_{8} & -0.46 x_{30} & +  1.30 x_{29}\\
\hline
z    &  1.23989084135 & -0.55 x_{28} & -7.63 x_{13} & -22.09 x_{3} & -5.61 x_{2} & -0.28 x_{31} & -0.32 x_{22} & -2.52 x_{16} & +  0.43 x_{32} & -0.06 x_{20} & +  0.69 x_{27} & -3.86 x_{7} & -14.39 x_{4} & -1.45 x_{19} & -1.38 x_{8} & -0.28 x_{30} & +  0.41 x_{29}\\
\end{array}\]


 $ x_{27} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  8.65094000521 & -0.60 x_{28} & + 17.27 x_{13} & -22.19 x_{3} & -25.41 x_{2} & +  1.04 x_{31} & -0.80 x_{22} & -25.89 x_{16} & +  0.05 x_{32} & +  0.16 x_{20} & -0.99 x_{21} & -39.32 x_{7} & +  1.88 x_{4} & -2.28 x_{19} & -16.18 x_{8} & -0.55 x_{30} & +  1.42 x_{29}\\
 x_{25}   &  406.324170683 & -34.10 x_{28} & + 873.89 x_{13} & -1120.75 x_{3} & -1191.25 x_{2} & + 50.28 x_{31} & -36.44 x_{22} & -1220.19 x_{16} & +  1.21 x_{32} & +  7.61 x_{20} & -47.52 x_{21} & -1972.39 x_{7} & + 38.99 x_{4} & -111.73 x_{19} & -809.95 x_{8} & -30.47 x_{30} & + 67.53 x_{29}\\
 x_{17}   &  54.4928871383 & -6.87 x_{28} & + 129.46 x_{13} & -223.28 x_{3} & -193.32 x_{2} & +  7.82 x_{31} & -5.44 x_{22} & -157.83 x_{16} & +  0.51 x_{32} & +  0.35 x_{20} & -6.85 x_{21} & -328.41 x_{7} & +  0.16 x_{4} & -18.21 x_{19} & -133.61 x_{8} & -6.28 x_{30} & +  8.98 x_{29}\\
 x_{12}   &  2.833987634 & -0.35 x_{28} & +  6.97 x_{13} & -9.89 x_{3} & -9.26 x_{2} & +  0.38 x_{31} & -0.31 x_{22} & -8.58 x_{16} & -0.01 x_{32} & +  0.00 x_{20} & -0.31 x_{21} & -16.22 x_{7} & -0.80 x_{4} & -0.91 x_{19} & -6.24 x_{8} & -0.29 x_{30} & +  0.52 x_{29}\\
 x_{14}   &  4.52322930558 & -0.49 x_{28} & + 11.51 x_{13} & -13.56 x_{3} & -13.86 x_{2} & +  0.67 x_{31} & -0.43 x_{22} & -13.40 x_{16} & +  0.01 x_{32} & +  0.10 x_{20} & -0.50 x_{21} & -25.47 x_{7} & +  0.31 x_{4} & -1.36 x_{19} & -9.36 x_{8} & -0.47 x_{30} & +  0.83 x_{29}\\
 x_{18}   &  135.691353442 & -12.29 x_{28} & + 314.27 x_{13} & -369.85 x_{3} & -403.82 x_{2} & + 18.27 x_{31} & -12.03 x_{22} & -385.39 x_{16} & +  0.17 x_{32} & +  2.32 x_{20} & -14.75 x_{21} & -685.08 x_{7} & + 20.67 x_{4} & -38.10 x_{19} & -271.89 x_{8} & -11.39 x_{30} & + 22.33 x_{29}\\
 x_{11}   &  9.44791708788 & -0.73 x_{28} & + 20.08 x_{13} & -25.60 x_{3} & -27.71 x_{2} & +  1.16 x_{31} & -0.86 x_{22} & -29.27 x_{16} & +  0.06 x_{32} & +  0.23 x_{20} & -1.17 x_{21} & -45.19 x_{7} & +  2.48 x_{4} & -2.53 x_{19} & -18.85 x_{8} & -0.68 x_{30} & +  1.60 x_{29}\\
 x_{24}   &  102.992848657 & -9.28 x_{28} & + 231.11 x_{13} & -286.38 x_{3} & -300.01 x_{2} & + 12.64 x_{31} & -8.95 x_{22} & -301.81 x_{16} & -0.42 x_{32} & +  1.80 x_{20} & -11.23 x_{21} & -517.15 x_{7} & +  5.34 x_{4} & -28.50 x_{19} & -212.47 x_{8} & -8.51 x_{30} & + 17.16 x_{29}\\
 x_{15}   &  16.792144152 & -1.45 x_{28} & + 36.68 x_{13} & -45.37 x_{3} & -48.24 x_{2} & +  2.11 x_{31} & -1.46 x_{22} & -50.26 x_{16} & +  0.00 x_{32} & +  0.35 x_{20} & -1.94 x_{21} & -82.72 x_{7} & +  1.48 x_{4} & -4.57 x_{19} & -33.97 x_{8} & -1.31 x_{30} & +  2.85 x_{29}\\
 x_{26}   &  33.3953979213 & -3.40 x_{28} & + 76.18 x_{13} & -105.13 x_{3} & -80.84 x_{2} & +  3.87 x_{31} & -2.50 x_{22} & -97.88 x_{16} & -0.45 x_{32} & +  0.19 x_{20} & -3.29 x_{21} & -165.78 x_{7} & -5.02 x_{4} & -9.58 x_{19} & -81.06 x_{8} & -3.16 x_{30} & +  4.99 x_{29}\\
 x_{10}   &  3.1471272961 & -0.25 x_{28} & +  5.94 x_{13} & -8.27 x_{3} & -9.02 x_{2} & +  0.37 x_{31} & -0.24 x_{22} & -9.11 x_{16} & +  0.04 x_{32} & +  0.05 x_{20} & -0.38 x_{21} & -14.32 x_{7} & +  0.43 x_{4} & -0.84 x_{19} & -6.75 x_{8} & -0.24 x_{30} & +  0.54 x_{29}\\
 x_{1}   &  9.48584765114 & -0.80 x_{28} & + 20.51 x_{13} & -26.57 x_{3} & -27.45 x_{2} & +  1.21 x_{31} & -0.86 x_{22} & -28.07 x_{16} & -0.01 x_{32} & +  0.16 x_{20} & -1.09 x_{21} & -47.03 x_{7} & +  1.58 x_{4} & -2.60 x_{19} & -19.11 x_{8} & -0.78 x_{30} & +  1.56 x_{29}\\
 x_{23}   &  29.7294925379 & -7.19 x_{28} & + 117.45 x_{13} & -134.91 x_{3} & -99.17 x_{2} & +  6.14 x_{31} & -2.43 x_{22} & -71.33 x_{16} & -1.01 x_{32} & +  0.35 x_{20} & -2.75 x_{21} & -244.82 x_{7} & -34.06 x_{4} & -11.33 x_{19} & -76.34 x_{8} & -5.88 x_{30} & +  6.08 x_{29}\\
 x_{6}   &  2.16204810813 & -0.37 x_{28} & +  6.04 x_{13} & -8.53 x_{3} & -7.60 x_{2} & +  0.34 x_{31} & -0.17 x_{22} & -4.75 x_{16} & +  0.03 x_{32} & -0.00 x_{20} & -0.24 x_{21} & -13.76 x_{7} & -1.08 x_{4} & -0.73 x_{19} & -5.14 x_{8} & -0.27 x_{30} & +  0.35 x_{29}\\
 x_{9}   &  16.6589761552 & -1.45 x_{28} & + 35.70 x_{13} & -47.42 x_{3} & -49.61 x_{2} & +  2.08 x_{31} & -1.50 x_{22} & -49.50 x_{16} & +  0.04 x_{32} & +  0.27 x_{20} & -1.88 x_{21} & -82.38 x_{7} & +  0.91 x_{4} & -4.68 x_{19} & -33.58 x_{8} & -1.33 x_{30} & +  2.75 x_{29}\\
 x_{27}   &  47.2209430788 & -3.11 x_{28} & + 108.37 x_{13} & -106.31 x_{3} & -135.40 x_{2} & +  5.79 x_{31} & -4.47 x_{22} & -159.65 x_{16} & -0.46 x_{32} & +  1.26 x_{20} & -6.07 x_{21} & -224.55 x_{7} & + 20.79 x_{4} & -11.61 x_{19} & -99.76 x_{8} & -2.78 x_{30} & +  7.92 x_{29}\\
\hline
z    &  33.9502638314 & -2.71 x_{28} & + 67.44 x_{13} & -95.73 x_{3} & -99.41 x_{2} & +  3.72 x_{31} & -3.42 x_{22} & -113.11 x_{16} & +  0.11 x_{32} & +  0.81 x_{20} & -4.21 x_{21} & -159.41 x_{7} & +  0.02 x_{4} & -9.50 x_{19} & -70.48 x_{8} & -2.20 x_{30} & +  5.90 x_{29}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{23} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  10.2881975253 & -1.00 x_{28} & + 23.74 x_{13} & -29.62 x_{3} & -30.87 x_{2} & +  1.38 x_{31} & -0.93 x_{22} & -29.82 x_{16} & -0.01 x_{32} & +  0.18 x_{20} & -1.14 x_{21} & -52.81 x_{7} & -0.06 x_{23} & -2.91 x_{19} & -20.38 x_{8} & -0.87 x_{30} & +  1.75 x_{29}\\
 x_{25}   &  440.362064902 & -42.34 x_{28} & + 1008.35 x_{13} & -1275.21 x_{3} & -1304.79 x_{2} & + 57.30 x_{31} & -39.22 x_{22} & -1301.86 x_{16} & +  0.06 x_{32} & +  8.01 x_{20} & -50.67 x_{21} & -2252.69 x_{7} & -1.14 x_{23} & -124.70 x_{19} & -897.35 x_{8} & -37.20 x_{30} & + 74.50 x_{29}\\
 x_{17}   &  54.6337222899 & -6.90 x_{28} & + 130.02 x_{13} & -223.92 x_{3} & -193.79 x_{2} & +  7.85 x_{31} & -5.45 x_{22} & -158.17 x_{16} & +  0.51 x_{32} & +  0.35 x_{20} & -6.86 x_{21} & -329.57 x_{7} & -0.00 x_{23} & -18.26 x_{19} & -133.97 x_{8} & -6.31 x_{30} & +  9.01 x_{29}\\
 x_{12}   &  2.13711626855 & -0.18 x_{28} & +  4.22 x_{13} & -6.73 x_{3} & -6.93 x_{2} & +  0.23 x_{31} & -0.25 x_{22} & -6.90 x_{16} & +  0.02 x_{32} & -0.01 x_{20} & -0.25 x_{21} & -10.48 x_{7} & +  0.02 x_{23} & -0.65 x_{19} & -4.45 x_{8} & -0.15 x_{30} & +  0.38 x_{29}\\
 x_{14}   &  4.79147562721 & -0.55 x_{28} & + 12.57 x_{13} & -14.78 x_{3} & -14.75 x_{2} & +  0.73 x_{31} & -0.45 x_{22} & -14.04 x_{16} & -0.00 x_{32} & +  0.11 x_{20} & -0.53 x_{21} & -27.68 x_{7} & -0.01 x_{23} & -1.46 x_{19} & -10.05 x_{8} & -0.52 x_{30} & +  0.88 x_{29}\\
 x_{18}   &  153.73810448 & -16.66 x_{28} & + 385.56 x_{13} & -451.75 x_{3} & -464.02 x_{2} & + 21.99 x_{31} & -13.50 x_{22} & -428.68 x_{16} & -0.44 x_{32} & +  2.53 x_{20} & -16.42 x_{21} & -833.70 x_{7} & -0.61 x_{23} & -44.98 x_{19} & -318.23 x_{8} & -14.95 x_{30} & + 26.02 x_{29}\\
 x_{11}   &  11.615473701 & -1.26 x_{28} & + 28.64 x_{13} & -35.43 x_{3} & -34.94 x_{2} & +  1.60 x_{31} & -1.04 x_{22} & -34.47 x_{16} & -0.01 x_{32} & +  0.26 x_{20} & -1.37 x_{21} & -63.04 x_{7} & -0.07 x_{23} & -3.36 x_{19} & -24.41 x_{8} & -1.11 x_{30} & +  2.04 x_{29}\\
 x_{24}   &  107.657160214 & -10.41 x_{28} & + 249.54 x_{13} & -307.55 x_{3} & -315.57 x_{2} & + 13.60 x_{31} & -9.33 x_{22} & -313.00 x_{16} & -0.58 x_{32} & +  1.85 x_{20} & -11.66 x_{21} & -555.56 x_{7} & -0.16 x_{23} & -30.28 x_{19} & -224.44 x_{8} & -9.43 x_{30} & + 18.12 x_{29}\\
 x_{15}   &  18.0854561519 & -1.76 x_{28} & + 41.79 x_{13} & -51.24 x_{3} & -52.56 x_{2} & +  2.38 x_{31} & -1.57 x_{22} & -53.36 x_{16} & -0.04 x_{32} & +  0.37 x_{20} & -2.06 x_{21} & -93.37 x_{7} & -0.04 x_{23} & -5.06 x_{19} & -37.29 x_{8} & -1.57 x_{30} & +  3.11 x_{29}\\
 x_{26}   &  29.0169917071 & -2.34 x_{28} & + 58.88 x_{13} & -85.26 x_{3} & -66.24 x_{2} & +  2.97 x_{31} & -2.14 x_{22} & -87.37 x_{16} & -0.30 x_{32} & +  0.14 x_{20} & -2.89 x_{21} & -129.73 x_{7} & +  0.15 x_{23} & -7.91 x_{19} & -69.82 x_{8} & -2.30 x_{30} & +  4.09 x_{29}\\
 x_{10}   &  3.52380294313 & -0.34 x_{28} & +  7.43 x_{13} & -9.98 x_{3} & -10.28 x_{2} & +  0.45 x_{31} & -0.27 x_{22} & -10.02 x_{16} & +  0.03 x_{32} & +  0.05 x_{20} & -0.41 x_{21} & -17.42 x_{7} & -0.01 x_{23} & -0.98 x_{19} & -7.72 x_{8} & -0.32 x_{30} & +  0.61 x_{29}\\
 x_{1}   &  10.8647708181 & -1.13 x_{28} & + 25.96 x_{13} & -32.83 x_{3} & -32.05 x_{2} & +  1.50 x_{31} & -0.97 x_{22} & -31.37 x_{16} & -0.05 x_{32} & +  0.17 x_{20} & -1.21 x_{21} & -58.39 x_{7} & -0.05 x_{23} & -3.13 x_{19} & -22.65 x_{8} & -1.05 x_{30} & +  1.84 x_{29}\\
 x_{4}   &  0.872933086131 & -0.21 x_{28} & +  3.45 x_{13} & -3.96 x_{3} & -2.91 x_{2} & +  0.18 x_{31} & -0.07 x_{22} & -2.09 x_{16} & -0.03 x_{32} & +  0.01 x_{20} & -0.08 x_{21} & -7.19 x_{7} & -0.03 x_{23} & -0.33 x_{19} & -2.24 x_{8} & -0.17 x_{30} & +  0.18 x_{29}\\
 x_{6}   &  1.21822284403 & -0.14 x_{28} & +  2.32 x_{13} & -4.25 x_{3} & -4.45 x_{2} & +  0.15 x_{31} & -0.09 x_{22} & -2.49 x_{16} & +  0.06 x_{32} & -0.01 x_{20} & -0.16 x_{21} & -5.99 x_{7} & +  0.03 x_{23} & -0.38 x_{19} & -2.72 x_{8} & -0.09 x_{30} & +  0.16 x_{29}\\
 x_{9}   &  17.4539077642 & -1.64 x_{28} & + 38.84 x_{13} & -51.02 x_{3} & -52.26 x_{2} & +  2.25 x_{31} & -1.56 x_{22} & -51.41 x_{16} & +  0.01 x_{32} & +  0.28 x_{20} & -1.95 x_{21} & -88.93 x_{7} & -0.03 x_{23} & -4.99 x_{19} & -35.62 x_{8} & -1.48 x_{30} & +  2.91 x_{29}\\
 x_{27}   &  65.3729437889 & -7.51 x_{28} & + 180.08 x_{13} & -188.68 x_{3} & -195.95 x_{2} & +  9.53 x_{31} & -5.95 x_{22} & -203.20 x_{16} & -1.08 x_{32} & +  1.48 x_{20} & -7.75 x_{21} & -374.03 x_{7} & -0.61 x_{23} & -18.53 x_{19} & -146.36 x_{8} & -6.37 x_{30} & + 11.63 x_{29}\\
\hline
z    &  33.9635097359 & -2.71 x_{28} & + 67.49 x_{13} & -95.79 x_{3} & -99.45 x_{2} & +  3.73 x_{31} & -3.42 x_{22} & -113.14 x_{16} & +  0.11 x_{32} & +  0.81 x_{20} & -4.21 x_{21} & -159.51 x_{7} & -0.00 x_{23} & -9.50 x_{19} & -70.51 x_{8} & -2.21 x_{30} & +  5.90 x_{29}\\
\end{array}\]


 $ x_{13} $ enters and Unbounded Dictionary!


 $ x_{13} $ enters and Unbounded Dictionary!
\end{document}
